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643231044 = 223414092
BaseRepresentation
bin100110010101101…
…110110101000100
31122211100112010000
4212111232311010
52304131343134
6143454401300
721640242111
oct4625566504
91584315100
10643231044
113000a6005
1215b500230
13a3353cb1
14615db908
153b70be99
hex2656ed44

643231044 has 45 divisors (see below), whose sum is σ = 1682727277. Its totient is φ = 214258176.

The previous prime is 643231027. The next prime is 643231067. The reversal of 643231044 is 440132346.

The square root of 643231044 is 25362.

It is a perfect power (a square), and thus also a powerful number.

643231044 is a `hidden beast` number, since 643 + 2 + 3 + 10 + 4 + 4 = 666.

643231044 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 8191044 + 635040000 = 2862^2 + 25200^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 643230999 and 643231017.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 455812 + ... + 457220.

Almost surely, 2643231044 is an apocalyptic number.

643231044 is the 25362-nd square number.

It is an amenable number.

643231044 is an abundant number, since it is smaller than the sum of its proper divisors (1039496233).

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

643231044 is an equidigital number, since it uses as much as digits as its factorization.

643231044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2834 (or 1414 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The cubic root of 643231044 is about 863.2216659468.

The spelling of 643231044 in words is "six hundred forty-three million, two hundred thirty-one thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 1409 2818 4227 5636 8454 12681 16908 25362 38043 50724 76086 114129 152172 228258 456516 1985281 3970562 5955843 7941124 11911686 17867529 23823372 35735058 53602587 71470116 107205174 160807761 214410348 321615522 643231044