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242348607 = 32311735021
BaseRepresentation
bin11100111000111…
…11001000111111
3121220000120210100
432130133020333
5444020123412
640014212143
76001633464
oct1634371077
9556016710
10242348607
11114888106
12691b4053
133b293b57
142428766b
1516421edc
hexe71f23f

242348607 has 24 divisors (see below), whose sum is σ = 363512448. Its totient is φ = 155419200.

The previous prime is 242348599. The next prime is 242348611. The reversal of 242348607 is 706843242.

242348607 is a `hidden beast` number, since 2 + 4 + 2 + 3 + 48 + 607 = 666.

It is not a de Polignac number, because 242348607 - 23 = 242348599 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242348627) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45757 + ... + 50777.

It is an arithmetic number, because the mean of its divisors is an integer number (15146352).

Almost surely, 2242348607 is an apocalyptic number.

242348607 is a deficient number, since it is larger than the sum of its proper divisors (121163841).

242348607 is a wasteful number, since it uses less digits than its factorization.

242348607 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5231 (or 5228 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 242348607 is about 15567.5498072112. The cubic root of 242348607 is about 623.4670545056.

The spelling of 242348607 in words is "two hundred forty-two million, three hundred forty-eight thousand, six hundred seven".

Divisors: 1 3 9 31 93 173 279 519 1557 5021 5363 15063 16089 45189 48267 155651 466953 868633 1400859 2605899 7817697 26927623 80782869 242348607