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242476644 = 223177116741
BaseRepresentation
bin11100111001111…
…10011001100100
3121220021002102110
432130332121210
5444033223034
640021041020
76003005664
oct1634763144
9556232373
10242476644
11114965323
1269256170
133b30a207
14242bc1a4
1516449de9
hexe73e664

242476644 has 48 divisors (see below), whose sum is σ = 607533696. Its totient is φ = 74995200.

The previous prime is 242476631. The next prime is 242476667. The reversal of 242476644 is 446674242.

It is a happy number.

242476644 is digitally balanced in base 3, 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 15 ways as a sum of consecutive naturals, for example, 6114 + ... + 22854.

It is an arithmetic number, because the mean of its divisors is an integer number (12656952).

Almost surely, 2242476644 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242476644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303766848).

242476644 is an abundant number, since it is smaller than the sum of its proper divisors (365057052).

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

242476644 is a wasteful number, since it uses less digits than its factorization.

242476644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16836 (or 16834 counting only the distinct ones).

The product of its digits is 258048, while the sum is 39.

The square root of 242476644 is about 15571.6615683748. The cubic root of 242476644 is about 623.5768313520.

The spelling of 242476644 in words is "two hundred forty-two million, four hundred seventy-six thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 12 17 34 51 68 71 102 142 204 213 284 426 852 1207 2414 3621 4828 7242 14484 16741 33482 50223 66964 100446 200892 284597 569194 853791 1138388 1188611 1707582 2377222 3415164 3565833 4754444 7131666 14263332 20206387 40412774 60619161 80825548 121238322 242476644