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234839072 = 25134712011
BaseRepresentation
bin11011111111101…
…01110000100000
3121100220001122102
431333311300200
5440104322242
635145225532
75551046006
oct1577656040
9540801572
10234839072
11110619086
12667922a8
1339864a40
1423290a76
151593be32
hexdff5c20

234839072 has 48 divisors (see below), whose sum is σ = 508540032. Its totient is φ = 106072320.

The previous prime is 234839063. The next prime is 234839089. The reversal of 234839072 is 270938432.

It is a happy number.

234839072 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 7 ways as a sum of consecutive naturals, for example, 13547 + ... + 25557.

It is an arithmetic number, because the mean of its divisors is an integer number (10594584).

Almost surely, 2234839072 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 234839072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254270016).

234839072 is an abundant number, since it is smaller than the sum of its proper divisors (273700960).

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

234839072 is a wasteful number, since it uses less digits than its factorization.

234839072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12081 (or 12073 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 38.

The square root of 234839072 is about 15324.4599252306. The cubic root of 234839072 is about 616.9596836188.

The spelling of 234839072 in words is "two hundred thirty-four million, eight hundred thirty-nine thousand, seventy-two".

Divisors: 1 2 4 8 13 16 26 32 47 52 94 104 188 208 376 416 611 752 1222 1504 2444 4888 9776 12011 19552 24022 48044 96088 156143 192176 312286 384352 564517 624572 1129034 1249144 2258068 2498288 4516136 4996576 7338721 9032272 14677442 18064544 29354884 58709768 117419536 234839072