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64034964 = 223272311171
BaseRepresentation
bin1111010001000…
…1100010010100
311110111022110100
43310101202110
5112343104324
610204254100
71405200600
oct364214224
9143438410
1064034964
1133167464
1219541330
1310360716
14870c500
15594d4c9
hex3d11894

64034964 has 108 divisors (see below), whose sum is σ = 194533248. Its totient is φ = 17690400.

The previous prime is 64034941. The next prime is 64034969. The reversal of 64034964 is 46943046.

64034964 is a `hidden beast` number, since 640 + 3 + 4 + 9 + 6 + 4 = 666.

It is a super-2 number, since 2×640349642 = 8200953228962592, 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 not an unprimeable number, because it can be changed into a prime (64034969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 54099 + ... + 55269.

Almost surely, 264034964 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 64034964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97266624).

64034964 is an abundant number, since it is smaller than the sum of its proper divisors (130498284).

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

64034964 is a wasteful number, since it uses less digits than its factorization.

64034964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226 (or 1214 counting only the distinct ones).

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

The square root of 64034964 is about 8002.1849516242. The cubic root of 64034964 is about 400.0728284059.

The spelling of 64034964 in words is "sixty-four million, thirty-four thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 49 62 63 84 93 98 124 126 147 186 196 217 252 279 294 372 434 441 558 588 651 868 882 1116 1171 1302 1519 1764 1953 2342 2604 3038 3513 3906 4557 4684 6076 7026 7812 8197 9114 10539 13671 14052 16394 18228 21078 24591 27342 32788 36301 42156 49182 54684 57379 72602 73773 98364 108903 114758 145204 147546 172137 217806 229516 254107 295092 326709 344274 435612 508214 516411 653418 688548 762321 1016428 1032822 1306836 1524642 1778749 2065644 2286963 3049284 3557498 4573926 5336247 7114996 9147852 10672494 16008741 21344988 32017482 64034964