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64301664 = 2537103929
BaseRepresentation
bin1111010101001…
…0101001100000
311110222212022010
43311102221200
5112430123124
610214112520
71410361260
oct365225140
9143885263
1064301664
1133329879
121964b740
1310424c2b
14877b7a0
1559a2529
hex3d52a60

64301664 has 96 divisors (see below), whose sum is σ = 194987520. Its totient is φ = 18173952.

The previous prime is 64301651. The next prime is 64301683. The reversal of 64301664 is 46610346.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68752 + ... + 69680.

It is an arithmetic number, because the mean of its divisors is an integer number (2031120).

Almost surely, 264301664 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 64301664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97493760).

64301664 is an abundant number, since it is smaller than the sum of its proper divisors (130685856).

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

64301664 is a wasteful number, since it uses less digits than its factorization.

64301664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1052 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 64301664 is about 8018.8318351241. The cubic root of 64301664 is about 400.6274818184.

The spelling of 64301664 in words is "sixty-four million, three hundred one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 103 112 168 206 224 309 336 412 618 672 721 824 929 1236 1442 1648 1858 2163 2472 2787 2884 3296 3716 4326 4944 5574 5768 6503 7432 8652 9888 11148 11536 13006 14864 17304 19509 22296 23072 26012 29728 34608 39018 44592 52024 69216 78036 89184 95687 104048 156072 191374 208096 287061 312144 382748 574122 624288 669809 765496 1148244 1339618 1530992 2009427 2296488 2679236 3061984 4018854 4592976 5358472 8037708 9185952 10716944 16075416 21433888 32150832 64301664