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640298304 = 26333111953
BaseRepresentation
bin100110001010100…
…010110101000000
31122121211112011000
4212022202311000
52302404021204
6143311452000
721603305622
oct4612426500
91577745130
10640298304
112a9482658
1215a527000
13a2868149
1461076c12
153b32d039
hex262a2d40

640298304 has 112 divisors (see below), whose sum is σ = 1943242240. Its totient is φ = 206530560.

The previous prime is 640298299. The next prime is 640298327. The reversal of 640298304 is 403892046.

It is a happy number.

640298304 is a `hidden beast` number, since 64 + 0 + 298 + 304 = 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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47592 + ... + 59544.

Almost surely, 2640298304 is an apocalyptic number.

640298304 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 640298304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (971621120).

640298304 is an abundant number, since it is smaller than the sum of its proper divisors (1302943936).

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

640298304 is a wasteful number, since it uses less digits than its factorization.

640298304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12005 (or 11989 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 640298304 is about 25304.1163449744. The cubic root of 640298304 is about 861.9077461505.

The spelling of 640298304 in words is "six hundred forty million, two hundred ninety-eight thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 93 96 108 124 144 186 192 216 248 279 288 372 432 496 558 576 744 837 864 992 1116 1488 1674 1728 1984 2232 2976 3348 4464 5952 6696 8928 11953 13392 17856 23906 26784 35859 47812 53568 71718 95624 107577 143436 191248 215154 286872 322731 370543 382496 430308 573744 645462 741086 764992 860616 1111629 1147488 1290924 1482172 1721232 2223258 2294976 2581848 2964344 3334887 3442464 4446516 5163696 5928688 6669774 6884928 8893032 10004661 10327392 11857376 13339548 17786064 20009322 20654784 23714752 26679096 35572128 40018644 53358192 71144256 80037288 106716384 160074576 213432768 320149152 640298304