Search a number
-
+
234802568 = 2371113109269
BaseRepresentation
bin11011111111011…
…00110110001000
3121100211012120102
431333230312020
5440102140233
635144344532
75550534410
oct1577546610
9540735512
10234802568
111105a3710
1266775148
1339851240
1423281640
15159311e8
hexdfecd88

234802568 has 128 divisors (see below), whose sum is σ = 598752000. Its totient is φ = 83358720.

The previous prime is 234802567. The next prime is 234802573. The reversal of 234802568 is 865208432.

It is not an unprimeable number, because it can be changed into a prime (234802567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 872738 + ... + 873006.

It is an arithmetic number, because the mean of its divisors is an integer number (4677750).

Almost surely, 2234802568 is an apocalyptic number.

234802568 is a gapful number since it is divisible by the number (28) 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 234802568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299376000).

234802568 is an abundant number, since it is smaller than the sum of its proper divisors (363949432).

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

234802568 is a wasteful number, since it uses less digits than its factorization.

234802568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 38.

The square root of 234802568 is about 15323.2688418627. The cubic root of 234802568 is about 616.9277146863.

The spelling of 234802568 in words is "two hundred thirty-four million, eight hundred two thousand, five hundred sixty-eight".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 104 109 143 154 182 218 269 286 308 364 436 538 572 616 728 763 872 1001 1076 1144 1199 1417 1526 1883 2002 2152 2398 2834 2959 3052 3497 3766 4004 4796 5668 5918 6104 6994 7532 8008 8393 9592 9919 11336 11836 13988 15064 15587 16786 19838 20713 23672 24479 27976 29321 31174 33572 38467 39676 41426 48958 58642 62348 67144 76934 79352 82852 97916 109109 117284 124696 153868 165704 195832 205247 218218 234568 269269 307736 322531 381173 410494 436436 538538 645062 762346 820988 872872 1077076 1290124 1524692 1641976 2154152 2257717 2580248 2668211 3049384 4192903 4515434 5336422 8385806 9030868 10672844 16771612 18061736 21345688 29350321 33543224 58700642 117401284 234802568