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242351808 = 2636531933
BaseRepresentation
bin11100111000111…
…11111011000000
3121220000202011220
432130133323000
5444020224213
640014235040
76001646016
oct1634377300
9556022156
10242351808
1111488a556
12691b5a80
133b29544a
14242888b6
1516422e23
hexe71fec0

242351808 has 56 divisors (see below), whose sum is σ = 642536688. Its totient is φ = 80618496.

The previous prime is 242351807. The next prime is 242351819. The reversal of 242351808 is 808153242.

It is not an unprimeable number, because it can be changed into a prime (242351807) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 124410 + ... + 126342.

Almost surely, 2242351808 is an apocalyptic number.

It is an amenable number.

242351808 is an abundant number, since it is smaller than the sum of its proper divisors (400184880).

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

242351808 is a wasteful number, since it uses less digits than its factorization.

242351808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2601 (or 2591 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 242351808 is about 15567.6526168848. The cubic root of 242351808 is about 623.4697994623.

The spelling of 242351808 in words is "two hundred forty-two million, three hundred fifty-one thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 653 1306 1933 1959 2612 3866 3918 5224 5799 7732 7836 10448 11598 15464 15672 20896 23196 30928 31344 41792 46392 61856 62688 92784 123712 125376 185568 371136 1262249 2524498 3786747 5048996 7573494 10097992 15146988 20195984 30293976 40391968 60587952 80783936 121175904 242351808