Search a number
-
+
234506042408 = 231147238123813
BaseRepresentation
bin1101101001100110100…
…1100011110000101000
3211102022010111021000002
43122121221203300220
512320232021324113
6255421450202132
722641164320511
oct3323151436050
9742263437002
10234506042408
11904a9602620
1239547723348
13191630c5151
14b4c8b69a08
156177981c58
hex3699a63c28

234506042408 has 64 divisors (see below), whose sum is σ = 490103550720. Its totient is φ = 104277510400.

The previous prime is 234506042389. The next prime is 234506042429. The reversal of 234506042408 is 804240605432.

It is a happy 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, 9835910 + ... + 9859722.

It is an arithmetic number, because the mean of its divisors is an integer number (7657867980).

Almost surely, 2234506042408 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 234506042408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245051775360).

234506042408 is an abundant number, since it is smaller than the sum of its proper divisors (255597508312).

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

234506042408 is a wasteful number, since it uses less digits than its factorization.

234506042408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26258 (or 26254 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 38.

The spelling of 234506042408 in words is "two hundred thirty-four billion, five hundred six million, forty-two thousand, four hundred eight".

Divisors: 1 2 4 8 11 22 44 47 88 94 188 376 517 1034 2068 2381 4136 4762 9524 19048 23813 26191 47626 52382 95252 104764 111907 190504 209528 223814 261943 447628 523886 895256 1047772 1119211 1230977 2095544 2238422 2461954 4476844 4923908 8953688 9847816 12311321 24622642 49245284 56698753 98490568 113397506 226795012 453590024 623686283 1247372566 2494745132 2664841391 4989490264 5329682782 10659365564 21318731128 29313255301 58626510602 117253021204 234506042408