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315231504 = 243721011327
BaseRepresentation
bin10010110010100…
…000110100010000
3210222011102022220
4102302200310100
51121144402004
651140301040
710545265200
oct2262406420
9728142286
10315231504
11151a38105
12896a1780
1350401923
142dc1a400
151ca1bdd9
hex12ca0d10

315231504 has 120 divisors (see below), whose sum is σ = 957403008. Its totient is φ = 89107200.

The previous prime is 315231487. The next prime is 315231509. The reversal of 315231504 is 405132513.

It is a super-2 number, since 2×3152315042 = 198741802228204032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (315231509) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 236889 + ... + 238215.

Almost surely, 2315231504 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 315231504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478701504).

315231504 is an abundant number, since it is smaller than the sum of its proper divisors (642171504).

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

315231504 is a wasteful number, since it uses less digits than its factorization.

315231504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1453 (or 1440 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 315231504 is about 17754.7600378039. The cubic root of 315231504 is about 680.5758559145.

The spelling of 315231504 in words is "three hundred fifteen million, two hundred thirty-one thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 101 112 147 168 196 202 294 303 336 392 404 588 606 707 784 808 1176 1212 1327 1414 1616 2121 2352 2424 2654 2828 3981 4242 4848 4949 5308 5656 7962 8484 9289 9898 10616 11312 14847 15924 16968 18578 19796 21232 27867 29694 31848 33936 37156 39592 55734 59388 63696 65023 74312 79184 111468 118776 130046 134027 148624 195069 222936 237552 260092 268054 390138 402081 445872 520184 536108 780276 804162 938189 1040368 1072216 1560552 1608324 1876378 2144432 2814567 3121104 3216648 3752756 5629134 6433296 6567323 7505512 11258268 13134646 15011024 19701969 22516536 26269292 39403938 45033072 52538584 78807876 105077168 157615752 315231504