Search a number
-
+
30332292624 = 2432533974357
BaseRepresentation
bin11100001111111100…
…100000111000010000
32220021220120010011100
4130033330200320100
5444110031330444
621533502144400
72122443143004
oct341774407020
986256503140
1030332292624
1111955874437
125a66282100
132b2518b55a
14167a626704
15bc7db5e69
hex70ff20e10

30332292624 has 60 divisors (see below), whose sum is σ = 86489978796. Its totient is φ = 9919992576.

The previous prime is 30332292623. The next prime is 30332292667. The reversal of 30332292624 is 42629223303.

It is a happy number.

30332292624 is a `hidden beast` number, since 3 + 0 + 3 + 3 + 2 + 29 + 2 + 624 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8230118400 + 22102174224 = 90720^2 + 148668^2 .

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

It is not an unprimeable number, because it can be changed into a prime (30332292623) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1979547 + ... + 1994810.

Almost surely, 230332292624 is an apocalyptic number.

It is an amenable number.

30332292624 is an abundant number, since it is smaller than the sum of its proper divisors (56157686172).

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

30332292624 is a wasteful number, since it uses less digits than its factorization.

30332292624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3974424 (or 3974415 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The spelling of 30332292624 in words is "thirty billion, three hundred thirty-two million, two hundred ninety-two thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 53 72 106 144 159 212 318 424 477 636 848 954 1272 1908 2544 3816 7632 3974357 7948714 11923071 15897428 23846142 31794856 35769213 47692284 63589712 71538426 95384568 143076852 190769136 210640921 286153704 421281842 572307408 631922763 842563684 1263845526 1685127368 1895768289 2527691052 3370254736 3791536578 5055382104 7583073156 10110764208 15166146312 30332292624