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234466056 = 23331128971
BaseRepresentation
bin11011111100110…
…10101100001000
3121100012002222000
431332122230020
5440010403211
635133231000
75544633336
oct1576325410
9540162860
10234466056
11110393900
1266632460
1339764016
14231d4b56
15158b6656
hexdf9ab08

234466056 has 96 divisors (see below), whose sum is σ = 715965600. Its totient is φ = 71042400.

The previous prime is 234466039. The next prime is 234466079. The reversal of 234466056 is 650664432.

234466056 is a `hidden beast` number, since 2 + 3 + 4 + 46 + 605 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 234466056.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21651 + ... + 30621.

It is an arithmetic number, because the mean of its divisors is an integer number (7457975).

Almost surely, 2234466056 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 234466056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357982800).

234466056 is an abundant number, since it is smaller than the sum of its proper divisors (481499544).

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

234466056 is a wasteful number, since it uses less digits than its factorization.

234466056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9008 (or 8987 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 234466056 is about 15312.2844801160. The cubic root of 234466056 is about 616.6328530116.

The spelling of 234466056 in words is "two hundred thirty-four million, four hundred sixty-six thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 121 132 198 216 242 264 297 363 396 484 594 726 792 968 1089 1188 1452 2178 2376 2904 3267 4356 6534 8712 8971 13068 17942 26136 26913 35884 53826 71768 80739 98681 107652 161478 197362 215304 242217 296043 322956 394724 484434 592086 645912 789448 888129 968868 1085491 1184172 1776258 1937736 2170982 2368344 2664387 3256473 3552516 4341964 5328774 6512946 7105032 8683928 9769419 10657548 13025892 19538838 21315096 26051784 29308257 39077676 58616514 78155352 117233028 234466056