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242646705 = 3357433593
BaseRepresentation
bin11100111011001…
…11111010110001
3121220120201201000
432131213322301
5444104143310
640024432213
76004314540
oct1635477261
9556521630
10242646705
11114a71074
1269318669
133b369742
1424324157
15164804c0
hexe767eb1

242646705 has 64 divisors (see below), whose sum is σ = 494968320. Its totient is φ = 110481408.

The previous prime is 242646647. The next prime is 242646707. The reversal of 242646705 is 507646242.

242646705 is a `hidden beast` number, since 2 + 4 + 2 + 646 + 7 + 0 + 5 = 666.

It is not a de Polignac number, because 242646705 - 27 = 242646577 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 242646705.

It is not an unprimeable number, because it can be changed into a prime (242646707) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 408889 + ... + 409481.

It is an arithmetic number, because the mean of its divisors is an integer number (7733880).

Almost surely, 2242646705 is an apocalyptic number.

It is an amenable number.

242646705 is an abundant number, since it is smaller than the sum of its proper divisors (252321615).

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

242646705 is a wasteful number, since it uses less digits than its factorization.

242646705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 242646705 is about 15577.1212038682. The cubic root of 242646705 is about 623.7225791590.

The spelling of 242646705 in words is "two hundred forty-two million, six hundred forty-six thousand, seven hundred five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 433 593 945 1299 1779 2165 2965 3031 3897 4151 5337 6495 8895 9093 11691 12453 15155 16011 19485 20755 26685 27279 37359 45465 58455 62265 80055 81837 112077 136395 186795 256769 409185 560385 770307 1283845 1797383 2310921 3851535 5392149 6932763 8986915 11554605 16176447 26960745 34663815 48529341 80882235 242646705