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640634436 = 2232136720431
BaseRepresentation
bin100110001011110…
…100111001000100
31122122110121020100
4212023310321010
52303000300221
6143323004100
721606205611
oct4613647104
91578417210
10640634436
112a9692152
1215a669630
13a2955140
1461123508
153b397926
hex262f4e44

640634436 has 72 divisors (see below), whose sum is σ = 1770065024. Its totient is φ = 194166720.

The previous prime is 640634417. The next prime is 640634453. The reversal of 640634436 is 634436046.

640634436 is a `hidden beast` number, since 640 + 6 + 3 + 4 + 4 + 3 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 640634436.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21141 + ... + 41571.

Almost surely, 2640634436 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 640634436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (885032512).

640634436 is an abundant number, since it is smaller than the sum of its proper divisors (1129430588).

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

640634436 is a wasteful number, since it uses less digits than its factorization.

640634436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20521 (or 20516 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The square root of 640634436 is about 25310.7573177888. The cubic root of 640634436 is about 862.0585425793.

The spelling of 640634436 in words is "six hundred forty million, six hundred thirty-four thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 67 78 117 134 156 201 234 268 402 468 603 804 871 1206 1742 2412 2613 3484 5226 7839 10452 15678 20431 31356 40862 61293 81724 122586 183879 245172 265603 367758 531206 735516 796809 1062412 1368877 1593618 2390427 2737754 3187236 4106631 4780854 5475508 8213262 9561708 12319893 16426524 17795401 24639786 35590802 49279572 53386203 71181604 106772406 160158609 213544812 320317218 640634436