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316682112 = 2733137719
BaseRepresentation
bin10010111000000…
…010111110000000
3211001220010012010
4102320002332000
51122032311422
651231332520
710563516315
oct2270027600
9731803163
10316682112
11152838a5a
128a081140
13507bbc86
14300b6d0c
151cc06b0c
hex12e02f80

316682112 has 128 divisors (see below), whose sum is σ = 893030400. Its totient is φ = 99256320.

The previous prime is 316682111. The next prime is 316682123. The reversal of 316682112 is 211286613.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a self number, because there is not a number n which added to its sum of digits gives 316682112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (316682111) 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 15 ways as a sum of consecutive naturals, for example, 440089 + ... + 440807.

It is an arithmetic number, because the mean of its divisors is an integer number (6976800).

Almost surely, 2316682112 is an apocalyptic number.

316682112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 316682112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446515200).

316682112 is an abundant number, since it is smaller than the sum of its proper divisors (576348288).

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

316682112 is a wasteful number, since it uses less digits than its factorization.

316682112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 792 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 316682112 is about 17795.5643911622. The cubic root of 316682112 is about 681.6181991658.

The spelling of 316682112 in words is "three hundred sixteen million, six hundred eighty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 37 48 62 64 74 93 96 111 124 128 148 186 192 222 248 296 372 384 444 496 592 719 744 888 992 1147 1184 1438 1488 1776 1984 2157 2294 2368 2876 2976 3441 3552 3968 4314 4588 4736 5752 5952 6882 7104 8628 9176 11504 11904 13764 14208 17256 18352 22289 23008 26603 27528 34512 36704 44578 46016 53206 55056 66867 69024 73408 79809 89156 92032 106412 110112 133734 138048 146816 159618 178312 212824 220224 267468 276096 319236 356624 425648 440448 534936 638472 713248 824693 851296 1069872 1276944 1426496 1649386 1702592 2139744 2474079 2553888 2852992 3298772 3405184 4279488 4948158 5107776 6597544 8558976 9896316 10215552 13195088 19792632 26390176 39585264 52780352 79170528 105560704 158341056 316682112