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831341056 = 2972132549
BaseRepresentation
bin110001100011010…
…100001000000000
32010221022111112111
4301203110020000
53200310403211
6214254305104
726413165600
oct6143241000
92127274474
10831341056
113972a7927
121b24b8194
131033073b0
147c5a6c00
154ceb8421
hex318d4200

831341056 has 120 divisors (see below), whose sum is σ = 2081702700. Its totient is φ = 328753152.

The previous prime is 831341053. The next prime is 831341081. The reversal of 831341056 is 650143138.

It can be written as a sum of positive squares in 2 ways, for example, as 828518656 + 2822400 = 28784^2 + 1680^2 .

It is a super-2 number, since 2×8313410562 = 1382255902782390272, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (831341053) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 324870 + ... + 327418.

Almost surely, 2831341056 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 831341056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1040851350).

831341056 is an abundant number, since it is smaller than the sum of its proper divisors (1250361644).

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

831341056 is a wasteful number, since it uses less digits than its factorization.

831341056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2594 (or 2571 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 831341056 is about 28832.9855547427. The cubic root of 831341056 is about 940.2855085650.

The spelling of 831341056 in words is "eight hundred thirty-one million, three hundred forty-one thousand, fifty-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 64 91 98 104 112 128 182 196 208 224 256 364 392 416 448 512 637 728 784 832 896 1274 1456 1568 1664 1792 2548 2549 2912 3136 3328 3584 5096 5098 5824 6272 6656 10192 10196 11648 12544 17843 20384 20392 23296 25088 33137 35686 40768 40784 46592 66274 71372 81536 81568 124901 132548 142744 163072 163136 231959 249802 265096 285488 326144 326272 463918 499604 530192 570976 652544 927836 999208 1060384 1141952 1305088 1623713 1855672 1998416 2120768 2283904 3247426 3711344 3996832 4241536 4567808 6494852 7422688 7993664 8483072 9135616 12989704 14845376 15987328 16966144 25979408 29690752 31974656 51958816 59381504 63949312 103917632 118763008 207835264 415670528 831341056