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30338324041 = 23275732
BaseRepresentation
bin11100010000010011…
…100001011001001001
32220022022220112201011
4130100103201121021
5444113102332131
621534235323521
72122545333214
oct342023413111
986268815634
1030338324041
1111959213983
125a682b05a1
132b264c093c
14167b35677b
15bc86a80b1
hex7104e1649

30338324041 has 9 divisors (see below), whose sum is σ = 31718920359. Its totient is φ = 29015434536.

The previous prime is 30338324039. The next prime is 30338324047. The reversal of 30338324041 is 14042383303.

The square root of 30338324041 is 174179.

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., 30274260025 + 64064016 = 173995^2 + 8004^2 .

It is not a de Polignac number, because 30338324041 - 21 = 30338324039 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 30338323994 and 30338324012.

It is not an unprimeable number, because it can be changed into a prime (30338324047) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4002331 + ... + 4009903.

Almost surely, 230338324041 is an apocalyptic number.

30338324041 is the 174179-th square number.

30338324041 is the 87090-th centered octagonal number.

It is an amenable number.

30338324041 is a deficient number, since it is larger than the sum of its proper divisors (1380596318).

30338324041 is an frugal number, since it uses more digits than its factorization.

30338324041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15192 (or 7596 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

Multiplying 30338324041 by its product of nonzero digits (20736), we get a square (629095487314176 = 250817762).

The spelling of 30338324041 in words is "thirty billion, three hundred thirty-eight million, three hundred twenty-four thousand, forty-one".

Divisors: 1 23 529 7573 174179 4006117 57350329 1319057567 30338324041