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831868344 = 2332172113221
BaseRepresentation
bin110001100101010…
…100110110111000
32010222022021211200
4301211110312320
53200424241334
6214313454200
726420523066
oct6145246670
92128267750
10831868344
11397627aaa
121b2711360
131034603b8
147c6a3036
154d06e799
hex31954db8

831868344 has 96 divisors (see below), whose sum is σ = 2397554640. Its totient is φ = 259660800.

The previous prime is 831868343. The next prime is 831868351. The reversal of 831868344 is 443868138.

831868344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 831868344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (831868343) 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, 256654 + ... + 259874.

Almost surely, 2831868344 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 831868344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1198777320).

831868344 is an abundant number, since it is smaller than the sum of its proper divisors (1565686296).

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

831868344 is a wasteful number, since it uses less digits than its factorization.

831868344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3461 (or 3454 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 831868344 is about 28842.1279381394. The cubic root of 831868344 is about 940.4842623239.

The spelling of 831868344 in words is "eight hundred thirty-one million, eight hundred sixty-eight thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 211 306 408 422 612 633 844 1224 1266 1688 1899 2532 3221 3587 3798 5064 6442 7174 7596 9663 10761 12884 14348 15192 19326 21522 25768 28696 28989 32283 38652 43044 54757 57978 64566 77304 86088 109514 115956 129132 164271 219028 231912 258264 328542 438056 492813 657084 679631 985626 1314168 1359262 1971252 2038893 2718524 3942504 4077786 5437048 6116679 8155572 11553727 12233358 16311144 23107454 24466716 34661181 46214908 48933432 69322362 92429816 103983543 138644724 207967086 277289448 415934172 831868344