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3149332164 = 2234117191229
BaseRepresentation
bin1011101110110110…
…1111111011000100
322010111000122120000
42323231233323010
522422212112124
61240301041300
7141020611266
oct27355577304
98114018500
103149332164
111376796960
1273a856230
133b260b474
1421c399b36
151367406c9
hexbbb6fec4

3149332164 has 120 divisors (see below), whose sum is σ = 9001238400. Its totient is φ = 952240320.

The previous prime is 3149332141. The next prime is 3149332171. The reversal of 3149332164 is 4612339413.

3149332164 is a `hidden beast` number, since 3 + 1 + 493 + 3 + 2 + 164 = 666.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2561902 + ... + 2563130.

It is an arithmetic number, because the mean of its divisors is an integer number (75010320).

Almost surely, 23149332164 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 3149332164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4500619200).

3149332164 is an abundant number, since it is smaller than the sum of its proper divisors (5851906236).

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

3149332164 is a wasteful number, since it uses less digits than its factorization.

3149332164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1975 (or 1964 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 3149332164 is about 56118.9109302738. The cubic root of 3149332164 is about 1465.7936059024.

The spelling of 3149332164 in words is "three billion, one hundred forty-nine million, three hundred thirty-two thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 297 324 396 594 719 891 1188 1229 1438 1782 2157 2458 2876 3564 3687 4314 4916 6471 7374 7909 8628 11061 12942 13519 14748 15818 19413 22122 23727 25884 27038 31636 33183 38826 40557 44244 47454 54076 58239 66366 71181 77652 81114 94908 99549 116478 121671 132732 142362 162228 199098 213543 232956 243342 284724 365013 398196 427086 486684 640629 730026 854172 883651 1095039 1281258 1460052 1767302 2190078 2562516 2650953 3534604 4380156 5301906 7952859 9720161 10603812 15905718 19440322 23858577 29160483 31811436 38880644 47717154 58320966 71575731 87481449 95434308 116641932 143151462 174962898 262444347 286302924 349925796 524888694 787333041 1049777388 1574666082 3149332164