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64334064 = 24329113409
BaseRepresentation
bin1111010101101…
…0100011110000
311111001111202010
43311122203300
5112432142224
610214522520
71410554604
oct365324360
9144044663
1064334064
1133351153
1219666440
13104368c2
148789504
1559abe29
hex3d5a8f0

64334064 has 80 divisors (see below), whose sum is σ = 173872800. Its totient is φ = 20471808.

The previous prime is 64334051. The next prime is 64334087. The reversal of 64334064 is 46043346.

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, 157092 + ... + 157500.

It is an arithmetic number, because the mean of its divisors is an integer number (2173410).

Almost surely, 264334064 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 64334064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86936400).

64334064 is an abundant number, since it is smaller than the sum of its proper divisors (109538736).

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

64334064 is a wasteful number, since it uses less digits than its factorization.

64334064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

The square root of 64334064 is about 8020.8518250869. The cubic root of 64334064 is about 400.6947592420.

The spelling of 64334064 in words is "sixty-four million, three hundred thirty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 113 116 174 226 232 339 348 409 452 464 678 696 818 904 1227 1356 1392 1636 1808 2454 2712 3272 3277 4908 5424 6544 6554 9816 9831 11861 13108 19632 19662 23722 26216 35583 39324 46217 47444 52432 71166 78648 92434 94888 138651 142332 157296 184868 189776 277302 284664 369736 554604 569328 739472 1109208 1340293 2218416 2680586 4020879 5361172 8041758 10722344 16083516 21444688 32167032 64334064