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630338346 = 232114177647
BaseRepresentation
bin100101100100100…
…011001100101010
31121221002111122200
4211210203030222
52242331311341
6142314201030
721422534061
oct4544431452
91557074580
10630338346
112a389a590
12157123176
13a078b891
145da031d8
153a511db6
hex2592332a

630338346 has 48 divisors (see below), whose sum is σ = 1526249088. Its totient is φ = 186350400.

The previous prime is 630338341. The next prime is 630338351. The reversal of 630338346 is 643833036.

It is a happy number.

630338346 is a `hidden beast` number, since 6 + 303 + 3 + 8 + 346 = 666.

It is an interprime number because it is at equal distance from previous prime (630338341) and next prime (630338351).

It is a self number, because there is not a number n which added to its sum of digits gives 630338346.

It is not an unprimeable number, because it can be changed into a prime (630338341) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 30706 + ... + 46941.

It is an arithmetic number, because the mean of its divisors is an integer number (31796856).

Almost surely, 2630338346 is an apocalyptic number.

630338346 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

630338346 is an abundant number, since it is smaller than the sum of its proper divisors (895910742).

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

630338346 is a wasteful number, since it uses less digits than its factorization.

630338346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77707 (or 77704 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The square root of 630338346 is about 25106.5399049730. The cubic root of 630338346 is about 857.4153269730.

The spelling of 630338346 in words is "six hundred thirty million, three hundred thirty-eight thousand, three hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 33 41 66 82 99 123 198 246 369 451 738 902 1353 2706 4059 8118 77647 155294 232941 465882 698823 854117 1397646 1708234 2562351 3183527 5124702 6367054 7687053 9550581 15374106 19101162 28651743 35018797 57303486 70037594 105056391 210112782 315169173 630338346