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317438464 = 297212653
BaseRepresentation
bin10010111010111…
…011101000000000
3211010022112201011
4102322323220000
51122231012324
651255450304
710603116400
oct2272735000
9733275634
10317438464
11153205242
128a386994
13509c5315
1430232800
151cd05c94
hex12ebba00

317438464 has 60 divisors (see below), whose sum is σ = 737867394. Its totient is φ = 136034304.

The previous prime is 317438431. The next prime is 317438483. The reversal of 317438464 is 464834713.

It can be written as a sum of positive squares in only one way, i.e., 317124864 + 313600 = 17808^2 + 560^2 .

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 18762 + ... + 31414.

Almost surely, 2317438464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 317438464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368933697).

317438464 is an abundant number, since it is smaller than the sum of its proper divisors (420428930).

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

317438464 is an equidigital number, since it uses as much as digits as its factorization.

317438464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12685 (or 12662 counting only the distinct ones).

The product of its digits is 193536, while the sum is 40.

The square root of 317438464 is about 17816.8028557314. The cubic root of 317438464 is about 682.1604184002.

The spelling of 317438464 in words is "three hundred seventeen million, four hundred thirty-eight thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 784 896 1568 1792 3136 3584 6272 12544 12653 25088 25306 50612 88571 101224 177142 202448 354284 404896 619997 708568 809792 1239994 1417136 1619584 2479988 2834272 3239168 4959976 5668544 6478336 9919952 11337088 19839904 22674176 39679808 45348352 79359616 158719232 317438464