Search a number
-
+
9307232676 = 22327222972
BaseRepresentation
bin10001010101100000…
…10001100110100100
3220000122012102000100
420222300101212210
5123030122421201
64135314144100
7446433113100
oct105260214644
926018172010
109307232676
113a46765735
121978b82030
13b54311191
1464414c900
15397168886
hex22ac119a4

9307232676 has 81 divisors (see below), whose sum is σ = 27379615809. Its totient is φ = 2658051648.

The previous prime is 9307232663. The next prime is 9307232677. The reversal of 9307232676 is 6762327039.

The square root of 9307232676 is 96474.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4375822500 + 4931410176 = 66150^2 + 70224^2 .

It is not an unprimeable number, because it can be changed into a prime (9307232677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4050760 + ... + 4053056.

Almost surely, 29307232676 is an apocalyptic number.

9307232676 is the 96474-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9307232676

9307232676 is an abundant number, since it is smaller than the sum of its proper divisors (18072383133).

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

9307232676 is a wasteful number, since it uses less digits than its factorization.

9307232676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4618 (or 2309 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 45.

The cubic root of 9307232676 is about 2103.4887342824.

The spelling of 9307232676 in words is "nine billion, three hundred seven million, two hundred thirty-two thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 2297 4594 6891 9188 13782 16079 20673 27564 32158 41346 48237 64316 82692 96474 112553 144711 192948 225106 289422 337659 450212 578844 675318 1012977 1350636 2025954 4051908 5276209 10552418 15828627 21104836 31657254 36933463 47485881 63314508 73866926 94971762 110800389 147733852 189943524 221600778 258534241 332401167 443201556 517068482 664802334 775602723 1034136964 1329604668 1551205446 2326808169 3102410892 4653616338 9307232676