Search a number
-
+
234085880 = 23572573253
BaseRepresentation
bin11011111001111…
…01110111111000
3121022110210110102
431330331313320
5434411222010
635121134532
75541461060
oct1574756770
9538423412
10234085880
11110154206
126648a448
133965cc72
14231363a0
151583dba5
hexdf3ddf8

234085880 has 64 divisors (see below), whose sum is σ = 604463040. Its totient is φ = 79921152.

The previous prime is 234085849. The next prime is 234085913. The reversal of 234085880 is 88580432.

It is a congruent number.

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, 70334 + ... + 73586.

It is an arithmetic number, because the mean of its divisors is an integer number (9444735).

Almost surely, 2234085880 is an apocalyptic number.

234085880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234085880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302231520).

234085880 is an abundant number, since it is smaller than the sum of its proper divisors (370377160).

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

234085880 is a wasteful number, since it uses less digits than its factorization.

234085880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3528 (or 3524 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 38.

The square root of 234085880 is about 15299.8653588847. The cubic root of 234085880 is about 616.2993920477.

The spelling of 234085880 in words is "two hundred thirty-four million, eighty-five thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 257 280 514 1028 1285 1799 2056 2570 3253 3598 5140 6506 7196 8995 10280 13012 14392 16265 17990 22771 26024 32530 35980 45542 65060 71960 91084 113855 130120 182168 227710 455420 836021 910840 1672042 3344084 4180105 5852147 6688168 8360210 11704294 16720420 23408588 29260735 33440840 46817176 58521470 117042940 234085880