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- This article is about the number 300. For other uses, see 300 (disambiguation). For the year, see 300.
Three hundred is the natural number following two hundred ninety-nine and preceding three hundred [and one.
| Cardinal | Three hundred |
| Ordinal | 300th |
| Factorization | |
| Roman numeral | CCC |
| Binary | 100101100 |
| Hexadecimal | 12C |
| Hebrew | ש (Shin) |
Mathematical properties
It is a triangular number and the sum of a twin prime (149 + 151), as well as the sum of ten consecutive primes (13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47). It is a Harshad number.
Other fields
Three hundred is
- In bowling, a perfect score, achieved by rolling strikes in all ten frames.
- The lowest possible credit score.
Integers from 301 to 399
301 = 7·43, is the sum of three consecutive primes (97 + 101 + 103). Moreover, it is a happy number. It's also a HTTP status code, indicating the content has been moved and the change is permanent. It's the North American Numbering Plan area code for Maryland.
302 = 2·151, nontotient, also telephone area code for Delaware, also a HTTP status code indicating the content has been moved.
303 = 3·101, also telephone area code for parts of Colorado, also a proposed HTTP status code.
304 = 2^4·19, sum of six consecutive primes (41 + 43 + 47 + 53 + 59 + 61), sum of eight consecutive primes (23 + 29 + 31 + 37 + 41 + 43 + 47 + 53), primitive semiperfect number, untouchable number, nontotient, also telephone area code for West Virginia, also a HTTP code indicated the content has not been modified.
305 = 5·61, also telephone area code for parts of Florida.
306 = 2·3^2·17, sum of four consecutive primes (71 + 73 + 79 + 83), pronic number, Harshad number, untouchable number, also telephone area code for Saskatchewan.
307, prime number, Chen prime, also telephone area code for Wyoming.
308 = 2^2·7·11, nontotient, totient sum of the first 31 integers, Harshad number.
309 = 3·103
310s
310 = 2·5·31, sphenic number, noncototient, self number.
311 has its own article.
312 = 2^3·3·13, Harshad number, self number.
313, prime number, palindromic prime, centered square number, also telephone area code for Detroit, Michigan.
314 = 2·157, nontotient.
315 = 3^2·5·7, Harshad number.
316 = 2^2·79, centered triangular number, centered heptagonal number.
317, prime number, Eisenstein prime with no imaginary part, Chen prime, strictly non-palindromic number.
318 = 2·3·53, sphenic number, nontotient.
319 = 11·29, sum of three consecutive primes (103 + 107 + 109), Smith number. 319 cannot be represented as the sum of fewer than 19 4th powers.
320s
320 = 2^6·5 = (2^5)·(2·5), Leyland number, maximum determinant of a 10 by 10 matrix of zeros and ones, Harshad number.
321 = 3·107
322 = 2·7·23, sphenic number, nontotient, Harshad number, untouchable number.
323 = 17·19, sum of nine consecutive primes (19 + 23 + 29 + 31 + 37 + 41 + 43 + 47 + 53), Motzkin number, self number.
324 = 2^2·3^4 = 18^2, sum of four consecutive primes (73 + 79 + 83 + 89), totient sum of the first 32 integers, untouchable number, Harshad number.
325 = 5^2·13, triangular number, hexagonal number, nonagonal number, centered nonagonal number. 325 is the smallest number to be the sum of two squares in 3 different ways: 1^2 + 18^2 , 6^2 + 17^2 and 10^2 + 13^2.
326 = 2·163, nontotient, noncototient, untouchable number.
327 = 3·109; this number appears in all Star Wars movies.
328 = 2^3·41, sum of the first fifteen primes, refactorable number.
329 = 7·47, sum of three consecutive primes (107 + 109 + 113), highly cototient number.
330s
330 = 2·3·5·11, sum of six consecutive primes (43 + 47 + 53 + 59 + 61 + 67), pentatope number, Harshad number, divisible by the number of primes below it, also the number of dimples on a British golf ball.
331, prime number, cuban prime, sum of five consecutive primes (59 + 61 + 67 + 71 + 73), centered pentagonal number, centered hexagonal number, Mertens function returns 0.
332 = 2^2·83, Mertens function returns 0.
333 = 3^2·37, Mertens function returns 0, Harshad number.
334 = 2·167, nontotient, self number.
335 = 5·67, divisible by the number of primes below it.
336 = 2^4·3·7, Harshad number, untouchable number, also the number of dimples on an American golf ball.
337, prime number, permutable prime with 373 and 733, Chen prime, star number.
338 = 2·13^2, nontotient.
339 = 3·113
340s
340 = 2^2·5·17, sum of eight consecutive primes (29 + 31 + 37 + 41 + 43 + 47 + 53 + 59), sum of ten consecutive primes (17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47 + 53), sum of the first four powers of 4 (4^1 + 4^2 + 4^3 + 4^4), divisible by the number of primes below it, nontotient, noncototient.
341 = 11·31, sum of seven consecutive primes (37 + 41 + 43 + 47 + 53 + 59 + 61), octagonal number, centered cube number, super-Poulet number.
342 = 2·3^2·19, pronic number, Harshad number, untouchable number.
343 = 7^3, nice Friedman number since 343 = (3 + 4)^3.
344 = 2^3·43, octahedral number, noncototient, totient sum of the first 33 integers, refactorable number.
345 = 3·5·23, sphenic number, self number.
346 = 2·173, Smith number, noncototient.
347, prime number, safe prime, Eisenstein prime with no imaginary part, Chen prime, Friedman number since 347 = 7^3 + 4, strictly non-palindromic number.
348 = 2^2·3·29, sum of four consecutive primes (79 + 83 + 89 + 97), refactorable number.
349, prime number, sum of three consecutive primes (109 + 113 + 127).
350s
350 = 2·5^2·7, primitive semiperfect number, divisible by the number of primes below it, nontotient.
351 = 3^3·13, triangular number, sum of five consecutive primes (61 + 67 + 71 + 73 + 79), member of Padovan sequence, Harshad number.
352 = 2^5·11, the number of n-Queens Problem solutions for n = 9.
353, prime number, Eisenstein prime with no imaginary part, Chen prime, palindromic prime, Mertens function returns 0. 353 is the smallest 4th power that is the sum of 4 other 4th powers, discovered by Norrie in 1911: 353^4 = 30^4 + 120^4 + 272^4 + 215^4.
354 = 2·3·59, sphenic number, nontotient, also SMTP code meaning start of mail input.
355 = 5·71, Smith number, Mertens function returns 0, divisible by the number of primes below it.
356 = 2^2·89, Mertens function returns 0, self number.
357 = 3·7·17, sphenic number.
358 = 2·179, sum of six consecutive primes (47 + 53 + 59 + 61 + 67 + 71), Mertens function returns 0.
359, prime number, safe prime, Eisenstein prime with no imaginary part, Chen prime, strictly non-palindromic number.
360s
360 has its own article.
361 = 19^2, centered triangular number, centered octagonal number, centered decagonal number, also the number of positions on a standard 19 x 19 Go board.
362 = 2·181, Mertens function returns 0, nontotient, noncototient.
363 = 3·11^2, sum of nine consecutive primes (23 + 29 + 31 + 37 + 41 + 43 + 47 + 53 + 59), Mertens function returns 0.
364 = 2^2·7·13, tetrahedral number, Mertens function returns 0, nontotient, Harshad number. It is a repdigit in base 3 (111111), base 9 (444), base 25 (EE), base 27 (DD), base 51 (77) and base 90 (44). The total number of gifts received in the song "The Twelve Days of Christmas".
365 = 5·73 = 10^2 + 11^2 + 12^2 = 13^2 + 14^2, centered square number, the approximate number of solar days in a tropical year. Several varieties of calendar have resulted from attempts to divide the 29.5-day lunar month and traditional 7-day week into the 365.25 day year.
366 = 2·3·61, sphenic number, Mertens function returns 0, noncototient. Also, the number of days in a leap year; it is 26-gonal and 123-gonal.
367, prime number, self number, strictly non-palindromic number.
368 = 2^4·23, Leyland number.
369 is the magic constant of the 9×9 magic square; there are 369 free polyominoes of order 8.
370s
370 = 2·5·37, sphenic number, sum of four consecutive primes (83 + 89 + 97 + 101), nontotient, Harshad number.
371 = 7·53, sum of three consecutive primes (113 + 127 + 131), sum of seven consecutive primes (41 + 43 + 47 + 53 + 59 + 61 + 67), sum of the primes from its least to its greatest prime factor , the next such composite number is 2935561623745.
372 = 2^2·3·31, sum of eight consecutive primes (31 + 37 + 41 + 43 + 47 + 53 + 59 + 61), Harshad number, noncototient, untouchable number, refactorable number.
373, prime number, balanced prime, sum of five consecutive primes (67 + 71 + 73 + 79 + 83), permutable prime with 337 and 733, palindromic prime.
374 = 2·11·17, sphenic number, nontotient.
375 = 3·5^3, Harshad number, also spur routes of Interstate 75 in the United States.
376 = 2^3·47, 1-automorphic number, nontotient, refactorable number.
377 = 13·29, Fibonacci number, sum of the squares of the first six primes.
378 = 2·3^3·7, triangular number, hexagonal number, Smith number, Harshad number, self number.
379, prime number, Chen prime.
380s
380 = 2^2·5·19, pronic number, also, model number of the Airbus A380, the largest aircraft as of 2005.
381 = 3·127, sum of the first sixteen primes. Palindrome in base 2 and base 8.
382 = 2·191, sum of ten consecutive primes (19 + 23 + 29 + 31 + 37 + 41 + 43 + 47 + 53 + 59), Smith number.
383, prime number, safe prime, Woodall prime, Thabit number, Eisenstein prime with no imaginary part, palindromic prime.
384 = 2^7·3, sum of a twin prime (191 + 193), sum of six consecutive primes (53 + 59 + 61 + 67 + 71 + 73), double factorial of 8, sum of the totient sums of the first 35 integers, refactorable number.
385 = 5·7·11, sphenic number, square pyramidal number.
386 = 2·193, nontotient, noncototient, nonagonal number, centered heptagonal number, also shorthand for the Intel 80386 microprocessor chip.
387 = 3^2·43, also shorthand for the Intel 80387, math coprocessor chip to the 386.
388 = 2^2·97
389, prime number, Eisenstein prime with no imaginary part, Chen prime, highly cototient number, self number, strictly non-palindromic number.
390s
390 = 2·3·5·13, sum of four consecutive primes (89 + 97 + 101 + 103), nontotient.
391 = 17·23, Smith number, centered pentagonal number.
392 = 2^3·7^2, Harshad number.
393 = 3·131, Mertens function returns 0.
394 = 2·197, nontotient, noncototient.
395 = 5·79, sum of three consecutive primes (127 + 131 + 137), sum of five consecutive primes (71 + 73 + 79 + 83 + 89).
396 = 2^2·3^2·11, sum of a twin prime (197 + 199), totient sum of the first 36 integers, refactorable number, Harshad number.
397, prime number, cuban prime, centered hexagonal number.
398 = 2·199, nontotient.
399 = 3·7·19, sphenic number, Harshad number.
Tres-cents | Trescientos | Nombres 300 à 399 | 300 | 300 | 300 (število) | 300 | 300 (số)
"300 (number)"