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234564352 = 2811312687
BaseRepresentation
bin11011111101100…
…10101100000000
3121100101002210121
431332302230000
5440022024402
635135310024
75545523041
oct1576625400
9540332717
10234564352
11110450740
126667b314
1339799999
142321c8c8
15158d5837
hexdfb2b00

234564352 has 72 divisors (see below), whose sum is σ = 527450112. Its totient is φ = 103142400.

The previous prime is 234564347. The next prime is 234564371. The reversal of 234564352 is 253465432.

234564352 is digitally balanced in base 2, 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, 85953 + ... + 88639.

It is an arithmetic number, because the mean of its divisors is an integer number (7325696).

Almost surely, 2234564352 is an apocalyptic number.

234564352 is a gapful number since it is divisible by the number (22) 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 234564352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263725056).

234564352 is an abundant number, since it is smaller than the sum of its proper divisors (292885760).

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

234564352 is a wasteful number, since it uses less digits than its factorization.

234564352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2745 (or 2731 counting only the distinct ones).

The product of its digits is 86400, while the sum is 34.

The square root of 234564352 is about 15315.4938542641. The cubic root of 234564352 is about 616.7190120000.

It can be divided in two parts, 234564 and 352, that multiplied together give a palindrome (82566528).

The spelling of 234564352 in words is "two hundred thirty-four million, five hundred sixty-four thousand, three hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 88 124 128 176 248 256 341 352 496 682 704 992 1364 1408 1984 2687 2728 2816 3968 5374 5456 7936 10748 10912 21496 21824 29557 42992 43648 59114 83297 85984 87296 118228 166594 171968 236456 333188 343936 472912 666376 687872 916267 945824 1332752 1832534 1891648 2665504 3665068 3783296 5331008 7330136 7566592 10662016 14660272 21324032 29320544 58641088 117282176 234564352