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242361364 = 22743919717
BaseRepresentation
bin11100111001000…
…10010000010100
3121220001020021211
432130202100110
5444021030424
640014351204
76002015620
oct1634422024
9556036254
10242361364
11114896753
12691bb504
133b2998bb
142428c180
1516425b94
hexe722414

242361364 has 24 divisors (see below), whose sum is σ = 485851520. Its totient is φ = 103627296.

The previous prime is 242361341. The next prime is 242361451. The reversal of 242361364 is 463163242.

242361364 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2434 + ... + 22150.

Almost surely, 2242361364 is an apocalyptic number.

It is an amenable number.

242361364 is an abundant number, since it is smaller than the sum of its proper divisors (243490156).

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

242361364 is a wasteful number, since it uses less digits than its factorization.

242361364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20167 (or 20165 counting only the distinct ones).

The product of its digits is 20736, while the sum is 31.

The square root of 242361364 is about 15567.9595323215. The cubic root of 242361364 is about 623.4779938844.

It can be divided in two parts, 24236 and 1364, that added together give a square (25600 = 1602).

The spelling of 242361364 in words is "two hundred forty-two million, three hundred sixty-one thousand, three hundred sixty-four".

Divisors: 1 2 4 7 14 28 439 878 1756 3073 6146 12292 19717 39434 78868 138019 276038 552076 8655763 17311526 34623052 60590341 121180682 242361364