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316891296 = 25324147571
BaseRepresentation
bin10010111000110…
…110000010100000
3211002021202010200
4102320312002200
51122111010141
651240025200
710565350221
oct2270660240
9732252120
10316891296
11152971137
128a162200
1350863257
143012d248
151cc48ab6
hex12e360a0

316891296 has 144 divisors (see below), whose sum is σ = 944431488. Its totient is φ = 100684800.

The previous prime is 316891283. The next prime is 316891297. The reversal of 316891296 is 692198613.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (316891297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 554691 + ... + 555261.

It is an arithmetic number, because the mean of its divisors is an integer number (6558552).

Almost surely, 2316891296 is an apocalyptic number.

316891296 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

316891296 is the 10278-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 316891296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472215744).

316891296 is an abundant number, since it is smaller than the sum of its proper divisors (627540192).

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

316891296 is a wasteful number, since it uses less digits than its factorization.

316891296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 664 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 316891296 is about 17801.4408405612. The cubic root of 316891296 is about 681.7682468351.

The spelling of 316891296 in words is "three hundred sixteen million, eight hundred ninety-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 47 48 72 82 94 96 123 141 144 164 188 246 282 288 328 369 376 423 492 564 571 656 738 752 846 984 1128 1142 1312 1476 1504 1692 1713 1927 1968 2256 2284 2952 3384 3426 3854 3936 4512 4568 5139 5781 5904 6768 6852 7708 9136 10278 11562 11808 13536 13704 15416 17343 18272 20556 23124 23411 26837 27408 30832 34686 41112 46248 46822 53674 54816 61664 69372 70233 80511 82224 92496 93644 107348 138744 140466 161022 164448 184992 187288 210699 214696 241533 277488 280932 322044 374576 421398 429392 483066 554976 561864 644088 749152 842796 858784 966132 1100317 1123728 1288176 1685592 1932264 2200634 2247456 2576352 3300951 3371184 3864528 4401268 6601902 6742368 7729056 8802536 9902853 13203804 17605072 19805706 26407608 35210144 39611412 52815216 79222824 105630432 158445648 316891296