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234052128 = 2532812681
BaseRepresentation
bin11011111001101…
…01101000100000
3121022102002011100
431330311220200
5434404132003
635120314400
75541260502
oct1574655040
9538362140
10234052128
11110130912
1266472a00
133964a7ab
1423127d72
1515833ba3
hexdf35a20

234052128 has 36 divisors (see below), whose sum is σ = 665586558. Its totient is φ = 78017280.

The previous prime is 234052123. The next prime is 234052157. The reversal of 234052128 is 821250432.

234052128 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 only one way, i.e., 217503504 + 16548624 = 14748^2 + 4068^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (234052123) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 406053 + ... + 406628.

Almost surely, 2234052128 is an apocalyptic number.

It is an amenable number.

234052128 is an abundant number, since it is smaller than the sum of its proper divisors (431534430).

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

234052128 is a wasteful number, since it uses less digits than its factorization.

234052128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812697 (or 812686 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 234052128 is about 15298.7623028793. The cubic root of 234052128 is about 616.2697699607.

The spelling of 234052128 in words is "two hundred thirty-four million, fifty-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 812681 1625362 2438043 3250724 4876086 6501448 7314129 9752172 13002896 14628258 19504344 26005792 29256516 39008688 58513032 78017376 117026064 234052128