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642330864 = 24337212411
BaseRepresentation
bin100110010010010…
…011000011110000
31122202122210022000
4212102103003300
52303414041424
6143423214000
721626502510
oct4622230360
91582583260
10642330864
112aa64075a
1215b147300
13a30ca346
1461445840
153b5d03c9
hex264930f0

642330864 has 80 divisors (see below), whose sum is σ = 2107127040. Its totient is φ = 183522240.

The previous prime is 642330781. The next prime is 642330877. The reversal of 642330864 is 468033246.

It is a happy number.

642330864 is a `hidden beast` number, since 642 + 3 + 3 + 0 + 8 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 103182 + ... + 109229.

It is an arithmetic number, because the mean of its divisors is an integer number (26339088).

Almost surely, 2642330864 is an apocalyptic number.

It is an amenable number.

642330864 is an abundant number, since it is smaller than the sum of its proper divisors (1464796176).

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

642330864 is a wasteful number, since it uses less digits than its factorization.

642330864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212435 (or 212423 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 642330864 is about 25344.2471578858. The cubic root of 642330864 is about 862.8187948188.

The spelling of 642330864 in words is "six hundred forty-two million, three hundred thirty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 212411 424822 637233 849644 1274466 1486877 1699288 1911699 2548932 2973754 3398576 3823398 4460631 5097864 5735097 5947508 7646796 8921262 10195728 11470194 11895016 13381893 15293592 17842524 22940388 23790032 26763786 30587184 35685048 40145679 45880776 53527572 71370096 80291358 91761552 107055144 160582716 214110288 321165432 642330864