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64134784 = 277312309
BaseRepresentation
bin1111010010100…
…1111010000000
311110200101101101
43310221322000
5112404303114
610210344144
71406064610
oct364517200
9143611341
1064134784
113322545a
121958b054
1310396c9c
148736a40
15596cd74
hex3d29e80

64134784 has 64 divisors (see below), whose sum is σ = 150796800. Its totient is φ = 26588160.

The previous prime is 64134773. The next prime is 64134809. The reversal of 64134784 is 48743146.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×641347842 = 8226541037453312, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26622 + ... + 28930.

It is an arithmetic number, because the mean of its divisors is an integer number (2356200).

Almost surely, 264134784 is an apocalyptic number.

64134784 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64134784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75398400).

64134784 is an abundant number, since it is smaller than the sum of its proper divisors (86662016).

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

64134784 is a wasteful number, since it uses less digits than its factorization.

64134784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2361 (or 2349 counting only the distinct ones).

The product of its digits is 64512, while the sum is 37.

The square root of 64134784 is about 8008.4195694282. The cubic root of 64134784 is about 400.2806031087.

The spelling of 64134784 in words is "sixty-four million, one hundred thirty-four thousand, seven hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 128 217 224 248 434 448 496 868 896 992 1736 1984 2309 3472 3968 4618 6944 9236 13888 16163 18472 27776 32326 36944 64652 71579 73888 129304 143158 147776 258608 286316 295552 501053 517216 572632 1002106 1034432 1145264 2004212 2068864 2290528 4008424 4581056 8016848 9162112 16033696 32067392 64134784