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315490464 = 2534592063
BaseRepresentation
bin10010110011100…
…000000010100000
3210222122120120000
4102303200002200
51121231143324
651150020000
710550424162
oct2263400240
9728576500
10315490464
111520a4723
12897a7600
1350492763
142dc86932
151ca6d9c9
hex12ce00a0

315490464 has 120 divisors (see below), whose sum is σ = 944032320. Its totient is φ = 103330944.

The previous prime is 315490457. The next prime is 315490489. The reversal of 315490464 is 464094513.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 151897 + ... + 153959.

It is an arithmetic number, because the mean of its divisors is an integer number (7866936).

Almost surely, 2315490464 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 315490464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472016160).

315490464 is an abundant number, since it is smaller than the sum of its proper divisors (628541856).

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

315490464 is a wasteful number, since it uses less digits than its factorization.

315490464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2144 (or 2127 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 315490464 is about 17762.0512328954. The cubic root of 315490464 is about 680.7621673322.

The spelling of 315490464 in words is "three hundred fifteen million, four hundred ninety thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 59 72 81 96 108 118 144 162 177 216 236 288 324 354 432 472 531 648 708 864 944 1062 1296 1416 1593 1888 2063 2124 2592 2832 3186 4126 4248 4779 5664 6189 6372 8252 8496 9558 12378 12744 16504 16992 18567 19116 24756 25488 33008 37134 38232 49512 50976 55701 66016 74268 76464 99024 111402 121717 148536 152928 167103 198048 222804 243434 297072 334206 365151 445608 486868 594144 668412 730302 891216 973736 1095453 1336824 1460604 1782432 1947472 2190906 2673648 2921208 3286359 3894944 4381812 5347296 5842416 6572718 8763624 9859077 11684832 13145436 17527248 19718154 26290872 35054496 39436308 52581744 78872616 105163488 157745232 315490464