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315831296 = 2101122549
BaseRepresentation
bin10010110100110…
…011010000000000
3211000021220002102
4102310303100000
51121323100141
651201205532
710553343644
oct2264632000
9730256072
10315831296
11152307800
12899308a8
1350581931
142dd34c24
151cad999b
hex12d33400

315831296 has 66 divisors (see below), whose sum is σ = 694240050. Its totient is φ = 143503360.

The previous prime is 315831251. The next prime is 315831301. The reversal of 315831296 is 692138513.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 309760000 + 6071296 = 17600^2 + 2464^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 122630 + ... + 125178.

Almost surely, 2315831296 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 315831296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347120025).

315831296 is an abundant number, since it is smaller than the sum of its proper divisors (378408754).

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

315831296 is a wasteful number, since it uses less digits than its factorization.

315831296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2591 (or 2562 counting only the distinct ones).

The product of its digits is 38880, while the sum is 38.

The square root of 315831296 is about 17771.6430304010. The cubic root of 315831296 is about 681.0072270654.

The spelling of 315831296 in words is "three hundred fifteen million, eight hundred thirty-one thousand, two hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 512 704 968 1024 1408 1936 2549 2816 3872 5098 5632 7744 10196 11264 15488 20392 28039 30976 40784 56078 61952 81568 112156 123904 163136 224312 308429 326272 448624 616858 652544 897248 1233716 1305088 1794496 2467432 2610176 3588992 4934864 7177984 9869728 14355968 19739456 28711936 39478912 78957824 157915648 315831296