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316397268 = 22321117431093
BaseRepresentation
bin10010110110111…
…101011011010100
3211001100122110100
4102312331123110
51121444203033
651221254100
710561222005
oct2266753324
9731318410
10316397268
11152663a50
1289b64330
135071c425
14300411ac
151cb9c513
hex12dbd6d4

316397268 has 144 divisors (see below), whose sum is σ = 946161216. Its totient is φ = 88058880.

The previous prime is 316397267. The next prime is 316397299. The reversal of 316397268 is 862793613.

316397268 is a `hidden beast` number, since 3 + 1 + 639 + 7 + 2 + 6 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (316397267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 288930 + ... + 290022.

It is an arithmetic number, because the mean of its divisors is an integer number (6570564).

Almost surely, 2316397268 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 316397268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473080608).

316397268 is an abundant number, since it is smaller than the sum of its proper divisors (629763948).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

316397268 is a wasteful number, since it uses less digits than its factorization.

316397268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174 (or 1169 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 316397268 is about 17787.5593604069. The cubic root of 316397268 is about 681.4137742996.

The spelling of 316397268 in words is "three hundred sixteen million, three hundred ninety-seven thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 43 44 51 66 68 86 99 102 129 132 153 172 187 198 204 258 306 374 387 396 473 516 561 612 731 748 774 946 1093 1122 1419 1462 1548 1683 1892 2186 2193 2244 2838 2924 3279 3366 4257 4372 4386 5676 6558 6579 6732 8041 8514 8772 9837 12023 13116 13158 16082 17028 18581 19674 24046 24123 26316 32164 36069 37162 39348 46999 48092 48246 55743 72138 72369 74324 93998 96492 108207 111486 140997 144276 144738 167229 187996 204391 216414 222972 281994 289476 334458 408782 422991 432828 516989 563988 613173 668916 798983 817564 845982 1033978 1226346 1550967 1597966 1691964 1839519 2067956 2396949 2452692 3101934 3195932 3679038 4652901 4793898 6203868 7190847 7358076 8788813 9305802 9587796 14381694 17577626 18611604 26366439 28763388 35155252 52732878 79099317 105465756 158198634 316397268