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242327072 = 2513244809
BaseRepresentation
bin11100111000110…
…01111000100000
3121212222111020202
432130121320200
5444013431242
640013524332
76001513631
oct1634317040
9555874222
10242327072
11114872a09
12691a36a8
133b287100
142427d888
151641a932
hexe719e20

242327072 has 36 divisors (see below), whose sum is σ = 516614490. Its totient is φ = 111840768.

The previous prime is 242327069. The next prime is 242327081. The reversal of 242327072 is 270723242.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 146991376 + 95335696 = 12124^2 + 9764^2 .

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 16997 + ... + 27812.

Almost surely, 2242327072 is an apocalyptic number.

It is an amenable number.

242327072 is an abundant number, since it is smaller than the sum of its proper divisors (274287418).

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

242327072 is a wasteful number, since it uses less digits than its factorization.

242327072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44845 (or 44824 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 29.

The square root of 242327072 is about 15566.8581287298. The cubic root of 242327072 is about 623.4485869478.

The spelling of 242327072 in words is "two hundred forty-two million, three hundred twenty-seven thousand, seventy-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 169 208 338 416 676 1352 2704 5408 44809 89618 179236 358472 582517 716944 1165034 1433888 2330068 4660136 7572721 9320272 15145442 18640544 30290884 60581768 121163536 242327072