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3164033268 = 22321117227647
BaseRepresentation
bin1011110010010111…
…0101000011110100
322011111200112200100
42330211311003310
522434443031033
61241544114100
7141256560534
oct27445650364
98144615610
103164033268
111384018030
12743765930
133b5687a46
142203054c4
15137b96513
hexbc9750f4

3164033268 has 108 divisors (see below), whose sum is σ = 9268826112. Its totient is φ = 902365440.

The previous prime is 3164033239. The next prime is 3164033309. The reversal of 3164033268 is 8623304613.

3164033268 is a `hidden beast` number, since 3 + 1 + 640 + 3 + 3 + 2 + 6 + 8 = 666.

It is a super-2 number, since 2×31640332682 = 20022213042021519648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 100621 + ... + 128267.

It is an arithmetic number, because the mean of its divisors is an integer number (85822464).

Almost surely, 23164033268 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 3164033268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4634413056).

3164033268 is an abundant number, since it is smaller than the sum of its proper divisors (6104792844).

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

3164033268 is a wasteful number, since it uses less digits than its factorization.

3164033268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27702 (or 27680 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 3164033268 is about 56249.7401593998. The cubic root of 3164033268 is about 1468.0708443613.

The spelling of 3164033268 in words is "three billion, one hundred sixty-four million, thirty-three thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 99 102 132 153 187 198 204 289 306 374 396 561 578 612 748 867 1122 1156 1683 1734 2244 2601 3179 3366 3468 5202 6358 6732 9537 10404 12716 19074 27647 28611 38148 55294 57222 82941 110588 114444 165882 248823 304117 331764 469999 497646 608234 912351 939998 995292 1216468 1409997 1824702 1879996 2737053 2819994 3649404 4229991 5169989 5474106 5639988 7989983 8459982 10339978 10948212 15509967 15979966 16919964 20679956 23969949 31019934 31959932 46529901 47939898 62039868 71909847 87889813 93059802 95879796 143819694 175779626 186119604 263669439 287639388 351559252 527338878 791008317 1054677756 1582016634 3164033268