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242000964 = 223221131859
BaseRepresentation
bin11100110110010…
…10010001000100
3121212100220220200
432123022101010
5443423012324
640002530500
75665655112
oct1633122104
9555326820
10242000964
1111466a9a7
1269066a30
133b1a184a
14241d6ab2
15163a3ec9
hexe6ca444

242000964 has 36 divisors (see below), whose sum is σ = 614643120. Its totient is φ = 80282160.

The previous prime is 242000953. The next prime is 242000971. The reversal of 242000964 is 469000242.

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8334 + ... + 23525.

It is an arithmetic number, because the mean of its divisors is an integer number (17073420).

Almost surely, 2242000964 is an apocalyptic number.

It is an amenable number.

242000964 is an abundant number, since it is smaller than the sum of its proper divisors (372642156).

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

242000964 is a wasteful number, since it uses less digits than its factorization.

242000964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32080 (or 32075 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 242000964 is about 15556.3801702067. The cubic root of 242000964 is about 623.1687958931.

The spelling of 242000964 in words is "two hundred forty-two million, nine hundred sixty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 36 211 422 633 844 1266 1899 2532 3798 7596 31859 63718 95577 127436 191154 286731 382308 573462 1146924 6722249 13444498 20166747 26888996 40333494 60500241 80666988 121000482 242000964