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831334192 = 24133124159
BaseRepresentation
bin110001100011010…
…010011100110000
32010221022011010021
4301203102130300
53200310143232
6214254213224
726413136563
oct6143223460
92127264107
10831334192
113972a2757
121b24b4214
13103304230
147c5a44da
154ceb6397
hex318d2730

831334192 has 60 divisors (see below), whose sum is σ = 1792801920. Its totient is φ = 371226240.

The previous prime is 831334159. The next prime is 831334193. The reversal of 831334192 is 291433138.

It is a super-2 number, since 2×8313341922 = 1382233077576585728, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (831334193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 197809 + ... + 201967.

It is an arithmetic number, because the mean of its divisors is an integer number (29880032).

Almost surely, 2831334192 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 831334192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896400960).

831334192 is an abundant number, since it is smaller than the sum of its proper divisors (961467728).

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

831334192 is a wasteful number, since it uses less digits than its factorization.

831334192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4242 (or 4205 counting only the distinct ones).

The product of its digits is 15552, while the sum is 34.

The square root of 831334192 is about 28832.8665241595. The cubic root of 831334192 is about 940.2829207231.

The spelling of 831334192 in words is "eight hundred thirty-one million, three hundred thirty-four thousand, one hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 31 52 62 104 124 208 248 403 496 806 961 1612 1922 3224 3844 4159 6448 7688 8318 12493 15376 16636 24986 33272 49972 54067 66544 99944 108134 128929 199888 216268 257858 432536 515716 865072 1031432 1676077 2062864 3352154 3996799 6704308 7993598 13408616 15987196 26817232 31974392 51958387 63948784 103916774 207833548 415667096 831334192