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831337668 = 223472315937
BaseRepresentation
bin110001100011010…
…011010011000100
32010221022022220000
4301203103103010
53200310301133
6214254241300
726413152660
oct6143232304
92127268800
10831337668
113972a5327
121b24b6230
131033059a5
147c5a58a0
154ceb7413
hex318d34c4

831337668 has 120 divisors (see below), whose sum is σ = 2591901312. Its totient is φ = 227183616.

The previous prime is 831337643. The next prime is 831337681. The reversal of 831337668 is 866733138.

It is a super-2 number, since 2×8313376682 = 1382244636471356448, which contains 22 as substring.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 44196 + ... + 60132.

Almost surely, 2831337668 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 831337668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1295950656).

831337668 is an abundant number, since it is smaller than the sum of its proper divisors (1760563644).

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

831337668 is a wasteful number, since it uses less digits than its factorization.

831337668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15983 (or 15972 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 831337668 is about 28832.9268025291. The cubic root of 831337668 is about 940.2842312346.

The spelling of 831337668 in words is "eight hundred thirty-one million, three hundred thirty-seven thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 27 28 36 42 46 54 63 69 81 84 92 108 126 138 161 162 189 207 252 276 322 324 378 414 483 567 621 644 756 828 966 1134 1242 1449 1863 1932 2268 2484 2898 3726 4347 5796 7452 8694 13041 15937 17388 26082 31874 47811 52164 63748 95622 111559 143433 191244 223118 286866 334677 366551 430299 446236 573732 669354 733102 860598 1004031 1099653 1290897 1338708 1466204 1721196 2008062 2199306 2565857 2581794 3012093 3298959 4016124 4398612 5131714 5163588 6024186 6597918 7697571 9036279 9896877 10263428 12048372 13195836 15395142 18072558 19793754 23092713 29690631 30790284 36145116 39587508 46185426 59381262 69278139 92370852 118762524 138556278 207834417 277112556 415668834 831337668