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630336456 = 233219345361
BaseRepresentation
bin100101100100100…
…010101111001000
31121221002102001200
4211210202233020
52242331231311
6142314144200
721422525421
oct4544425710
91557072050
10630336456
112a3899122
12157122060
13a078aa69
145da02648
153a511556
hex25922bc8

630336456 has 48 divisors (see below), whose sum is σ = 1716044460. Its totient is φ = 209018880.

The previous prime is 630336409. The next prime is 630336461. The reversal of 630336456 is 654633036.

It is a happy number.

630336456 is a `hidden beast` number, since 6 + 3 + 0 + 3 + 3 + 645 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 489913956 + 140422500 = 22134^2 + 11850^2 .

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 630336456.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8785 + ... + 36576.

Almost surely, 2630336456 is an apocalyptic number.

It is an amenable number.

630336456 is an abundant number, since it is smaller than the sum of its proper divisors (1085708004).

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

630336456 is a wasteful number, since it uses less digits than its factorization.

630336456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45566 (or 45559 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 36.

The square root of 630336456 is about 25106.5022653495. The cubic root of 630336456 is about 857.4144700170.

The spelling of 630336456 in words is "six hundred thirty million, three hundred thirty-six thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 193 386 579 772 1158 1544 1737 2316 3474 4632 6948 13896 45361 90722 136083 181444 272166 362888 408249 544332 816498 1088664 1632996 3265992 8754673 17509346 26264019 35018692 52528038 70037384 78792057 105056076 157584114 210112152 315168228 630336456