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3206930664 = 2337232928619
BaseRepresentation
bin1011111100100101…
…1110000011101000
322021111101221211210
42333021132003220
523031433240124
61250115353120
7142320314040
oct27711360350
98244357753
103206930664
1113a6257523
12755bb27a0
133c1527312
14225cb0720
1513b81ba29
hexbf25e0e8

3206930664 has 128 divisors (see below), whose sum is σ = 9891072000. Its totient is φ = 846177024.

The previous prime is 3206930593. The next prime is 3206930707. The reversal of 3206930664 is 4660396023.

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 31 ways as a sum of consecutive naturals, for example, 97747 + ... + 126365.

It is an arithmetic number, because the mean of its divisors is an integer number (77274000).

Almost surely, 23206930664 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 3206930664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4945536000).

3206930664 is an abundant number, since it is smaller than the sum of its proper divisors (6684141336).

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

3206930664 is a wasteful number, since it uses less digits than its factorization.

3206930664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28687 (or 28683 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 39.

The square root of 3206930664 is about 56629.7683555213. The cubic root of 3206930664 is about 1474.6756983472.

The spelling of 3206930664 in words is "three billion, two hundred six million, nine hundred thirty thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 29 42 46 56 58 69 84 87 92 116 138 161 168 174 184 203 232 276 322 348 406 483 552 609 644 667 696 812 966 1218 1288 1334 1624 1932 2001 2436 2668 3864 4002 4669 4872 5336 8004 9338 14007 16008 18676 28014 28619 37352 56028 57238 85857 112056 114476 171714 200333 228952 343428 400666 600999 658237 686856 801332 829951 1201998 1316474 1602664 1659902 1974711 2403996 2489853 2632948 3319804 3949422 4607659 4807992 4979706 5265896 5809657 6639608 7898844 9215318 9959412 11619314 13822977 15797688 17428971 18430636 19088873 19918824 23238628 27645954 34857942 36861272 38177746 46477256 55291908 57266619 69715884 76355492 110583816 114533238 133622111 139431768 152710984 229066476 267244222 400866333 458132952 534488444 801732666 1068976888 1603465332 3206930664