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317499072 = 263111737239
BaseRepresentation
bin10010111011001…
…010011011000000
3211010102121211220
4102323022123000
51122234432242
651301035040
710603461162
oct2273123300
9733377756
10317499072
11153246830
128a3b5a80
1350a16a97
143024a932
151cd18bec
hex12eca6c0

317499072 has 224 divisors, whose sum is σ = 1000719360. Its totient is φ = 87736320.

The previous prime is 317499043. The next prime is 317499073. The reversal of 317499072 is 270994713.

It is a super-2 number, since 2×3174990722 = 201611321441722368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (317499073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1328329 + ... + 1328567.

Almost surely, 2317499072 is an apocalyptic number.

317499072 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 317499072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500359680).

317499072 is an abundant number, since it is smaller than the sum of its proper divisors (683220288).

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

317499072 is a wasteful number, since it uses less digits than its factorization.

317499072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 42.

The square root of 317499072 is about 17818.5036408785. The cubic root of 317499072 is about 682.2038302237.

The spelling of 317499072 in words is "three hundred seventeen million, four hundred ninety-nine thousand, seventy-two".