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234060032 = 288910273
BaseRepresentation
bin11011111001101…
…11100100000000
3121022102111000002
431330313210000
5434404410112
635120415132
75541322523
oct1574674400
9538374002
10234060032
11110136848
12664774a8
133965127b
142312abba
15158361c2
hexdf37900

234060032 has 36 divisors (see below), whose sum is σ = 472501260. Its totient is φ = 115703808.

The previous prime is 234060017. The next prime is 234060049. The reversal of 234060032 is 230060432.

234060032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 48664576 + 185395456 = 6976^2 + 13616^2 .

It is a junction number, because it is equal to n+sod(n) for n = 234059986 and 234060013.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17648 + ... + 27920.

It is an arithmetic number, because the mean of its divisors is an integer number (13125035).

Almost surely, 2234060032 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 234060032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236250630).

234060032 is an abundant number, since it is smaller than the sum of its proper divisors (238441228).

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

234060032 is an equidigital number, since it uses as much as digits as its factorization.

234060032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10378 (or 10364 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 234060032 is about 15299.0206222490. The cubic root of 234060032 is about 616.2767070783.

The spelling of 234060032 in words is "two hundred thirty-four million, sixty thousand, thirty-two".

Divisors: 1 2 4 8 16 32 64 89 128 178 256 356 712 1424 2848 5696 10273 11392 20546 22784 41092 82184 164368 328736 657472 914297 1314944 1828594 2629888 3657188 7314376 14628752 29257504 58515008 117030016 234060032