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242443460 = 2257172343103
BaseRepresentation
bin11100111001101…
…10010011000100
3121220012101220102
432130312103010
5444031142320
640020223232
76002510150
oct1634662304
9556171812
10242443460
111149423a6
126923ab18
133b2c808c
14242b0060
1516440175
hexe7364c4

242443460 has 192 divisors, whose sum is σ = 664215552. Its totient is φ = 72382464.

The previous prime is 242443459. The next prime is 242443541. The reversal of 242443460 is 64344242.

242443460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2353769 + ... + 2353871.

It is an arithmetic number, because the mean of its divisors is an integer number (3459456).

Almost surely, 2242443460 is an apocalyptic number.

242443460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242443460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332107776).

242443460 is an abundant number, since it is smaller than the sum of its proper divisors (421772092).

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

242443460 is a wasteful number, since it uses less digits than its factorization.

242443460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

The square root of 242443460 is about 15570.5960065760. The cubic root of 242443460 is about 623.5483836394.

The spelling of 242443460 in words is "two hundred forty-two million, four hundred forty-three thousand, four hundred sixty".