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242690688 = 273370223
BaseRepresentation
bin11100111011100…
…10101010000000
3121220122222001000
432131302222000
5444112100223
640025412000
76004560012
oct1635625200
9556588030
10242690688
11114aa1119
126933a000
133b383776
14243361b2
151648d543
hexe772a80

242690688 has 64 divisors (see below), whose sum is σ = 716284800. Its totient is φ = 80895744.

The previous prime is 242690681. The next prime is 242690699. The reversal of 242690688 is 886096242.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242690681) 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 7 ways as a sum of consecutive naturals, for example, 31656 + ... + 38567.

It is an arithmetic number, because the mean of its divisors is an integer number (11191950).

Almost surely, 2242690688 is an apocalyptic number.

It is an amenable number.

242690688 is an abundant number, since it is smaller than the sum of its proper divisors (473594112).

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

242690688 is an equidigital number, since it uses as much as digits as its factorization.

242690688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70246 (or 70228 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 242690688 is about 15578.5329219410. The cubic root of 242690688 is about 623.7602629358.

The spelling of 242690688 in words is "two hundred forty-two million, six hundred ninety thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 70223 140446 210669 280892 421338 561784 632007 842676 1123568 1264014 1685352 1896021 2247136 2528028 3370704 3792042 4494272 5056056 6741408 7584084 8988544 10112112 13482816 15168168 20224224 26965632 30336336 40448448 60672672 80896896 121345344 242690688