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242746432 = 2619892243
BaseRepresentation
bin11100111100000…
…00010001000000
3121220202210111121
432132000101000
5444120341212
640030522024
76005211355
oct1636002100
9556683447
10242746432
11115029a95
1269366314
133b3a2c56
142434c62c
151649ed07
hexe780440

242746432 has 56 divisors (see below), whose sum is σ = 512978400. Its totient is φ = 113642496.

The previous prime is 242746429. The next prime is 242746453. The reversal of 242746432 is 234647242.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 107103 + ... + 109345.

Almost surely, 2242746432 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 242746432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256489200).

242746432 is an abundant number, since it is smaller than the sum of its proper divisors (270231968).

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

242746432 is a wasteful number, since it uses less digits than its factorization.

242746432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2363 (or 2353 counting only the distinct ones).

The product of its digits is 64512, while the sum is 34.

The square root of 242746432 is about 15580.3219478931. The cubic root of 242746432 is about 623.8080167668.

The spelling of 242746432 in words is "two hundred forty-two million, seven hundred forty-six thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 19 32 38 64 76 89 152 178 304 356 608 712 1216 1424 1691 2243 2848 3382 4486 5696 6764 8972 13528 17944 27056 35888 42617 54112 71776 85234 108224 143552 170468 199627 340936 399254 681872 798508 1363744 1597016 2727488 3194032 3792913 6388064 7585826 12776128 15171652 30343304 60686608 121373216 242746432