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315391232 = 281397977
BaseRepresentation
bin10010110011000…
…111110100000000
3210222110112102202
4102303013310000
51121220004412
651143532332
710546531652
oct2263076400
9728415382
10315391232
11152037112
128975a0a8
1350459540
142dc5c6d2
151ca4e3c2
hex12cc7d00

315391232 has 72 divisors (see below), whose sum is σ = 685667976. Its totient is φ = 143917056.

The previous prime is 315391187. The next prime is 315391243. The reversal of 315391232 is 232193513.

It can be written as a sum of positive squares in 4 ways, for example, as 56310016 + 259081216 = 7504^2 + 16096^2 .

It is a junction number, because it is equal to n+sod(n) for n = 315391195 and 315391204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 322328 + ... + 323304.

Almost surely, 2315391232 is an apocalyptic number.

315391232 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 315391232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342833988).

315391232 is an abundant number, since it is smaller than the sum of its proper divisors (370276744).

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

315391232 is an equidigital number, since it uses as much as digits as its factorization.

315391232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103 (or 1089 counting only the distinct ones).

The product of its digits is 4860, while the sum is 29.

The square root of 315391232 is about 17759.2576421426. The cubic root of 315391232 is about 680.6907859087.

The spelling of 315391232 in words is "three hundred fifteen million, three hundred ninety-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 97 104 128 194 208 256 388 416 776 832 977 1261 1552 1664 1954 2522 3104 3328 3908 5044 6208 7816 10088 12416 12701 15632 20176 24832 25402 31264 40352 50804 62528 80704 94769 101608 125056 161408 189538 203216 250112 322816 379076 406432 758152 812864 1231997 1516304 1625728 2463994 3032608 3251456 4927988 6065216 9855976 12130432 19711952 24260864 39423904 78847808 157695616 315391232