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316501956 = 22328791721
BaseRepresentation
bin10010110111010…
…110111111000100
3211001112222001200
4102313112333010
51122011030311
651223422500
710562136141
oct2267267704
9731488050
10316501956
11152725671
1289bb4a30
1350757c84
143006b3c8
151cbbd556
hex12dd6fc4

316501956 has 18 divisors (see below), whose sum is σ = 800046702. Its totient is φ = 105500640.

The previous prime is 316501951. The next prime is 316501963. The reversal of 316501956 is 659105613.

316501956 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 172501956 + 144000000 = 13134^2 + 12000^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 8791721 = 316501956 / (3 + 1 + 6 + 5 + 0 + 1 + 9 + 5 + 6).

It is a self number, because there is not a number n which added to its sum of digits gives 316501956.

It is not an unprimeable number, because it can be changed into a prime (316501951) 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 5 ways as a sum of consecutive naturals, for example, 4395825 + ... + 4395896.

It is an arithmetic number, because the mean of its divisors is an integer number (44447039).

Almost surely, 2316501956 is an apocalyptic number.

316501956 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

316501956 is an abundant number, since it is smaller than the sum of its proper divisors (483544746).

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

316501956 is a wasteful number, since it uses less digits than its factorization.

316501956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8791731 (or 8791726 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 316501956 is about 17790.5018478963. The cubic root of 316501956 is about 681.4889203118.

The spelling of 316501956 in words is "three hundred sixteen million, five hundred one thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 8791721 17583442 26375163 35166884 52750326 79125489 105500652 158250978 316501956