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640382784 = 263672743
BaseRepresentation
bin100110001010110…
…111011101000000
31122121222211000220
4212022313131000
52302414222114
6143313343040
721604110126
oct4612673500
91577884026
10640382784
112a9530078
1215a567a80
13a2897732
1461099916
153b3480a9
hex262b7740

640382784 has 84 divisors (see below), whose sum is σ = 1722327264. Its totient is φ = 209991936.

The previous prime is 640382773. The next prime is 640382833. The reversal of 640382784 is 487283046.

It is a super-2 number, since 2×6403827842 = 820180220087181312, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 861517 + ... + 862259.

It is an arithmetic number, because the mean of its divisors is an integer number (20503896).

Almost surely, 2640382784 is an apocalyptic number.

640382784 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 640382784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861163632).

640382784 is an abundant number, since it is smaller than the sum of its proper divisors (1081944480).

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

640382784 is an equidigital number, since it uses as much as digits as its factorization.

640382784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The square root of 640382784 is about 25305.7855835380. The cubic root of 640382784 is about 861.9456507562.

The spelling of 640382784 in words is "six hundred forty million, three hundred eighty-two thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 96 134 192 201 268 402 536 743 804 1072 1486 1608 2144 2229 2972 3216 4288 4458 4489 5944 6432 8916 8978 11888 12864 13467 17832 17956 23776 26934 35664 35912 47552 49781 53868 71328 71824 99562 107736 142656 143648 149343 199124 215472 287296 298686 398248 430944 597372 796496 861888 1194744 1592992 2389488 3185984 3335327 4778976 6670654 9557952 10005981 13341308 20011962 26682616 40023924 53365232 80047848 106730464 160095696 213460928 320191392 640382784