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316520832 = 273839931
BaseRepresentation
bin10010110111011…
…011100110000000
3211001120220221210
4102313123212000
51122012131312
651224050120
710562245155
oct2267334600
9731526853
10316520832
11152738871
128a003940
1350763744
143007422c
151cbc3e3c
hex12ddb980

316520832 has 64 divisors (see below), whose sum is σ = 850973760. Its totient is φ = 104225280.

The previous prime is 316520767. The next prime is 316520833. The reversal of 316520832 is 238025613.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×3165208323 (a number of 26 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 316520832.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (316520833) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26907 + ... + 36837.

It is an arithmetic number, because the mean of its divisors is an integer number (13296465).

Almost surely, 2316520832 is an apocalyptic number.

316520832 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 316520832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425486880).

316520832 is an abundant number, since it is smaller than the sum of its proper divisors (534452928).

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

316520832 is an equidigital number, since it uses as much as digits as its factorization.

316520832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10031 (or 10019 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 316520832 is about 17791.0323477869. The cubic root of 316520832 is about 681.5024679154.

The spelling of 316520832 in words is "three hundred sixteen million, five hundred twenty thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 83 96 128 166 192 249 332 384 498 664 996 1328 1992 2656 3984 5312 7968 9931 10624 15936 19862 29793 31872 39724 59586 79448 119172 158896 238344 317792 476688 635584 824273 953376 1271168 1648546 1906752 2472819 3297092 3813504 4945638 6594184 9891276 13188368 19782552 26376736 39565104 52753472 79130208 105506944 158260416 316520832