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30400531344 = 2432211114801
BaseRepresentation
bin11100010100000000…
…110100101110010000
32220110122222000002100
4130110000310232100
5444230014000334
621544340520400
72124232152501
oct342400645620
986418860070
1030400531344
1111990342177
125a850b0100
132b363614b1
14168570aba8
15bcdd94c99
hex714034b90

30400531344 has 30 divisors (see below), whose sum is σ = 85079265206. Its totient is φ = 10133510400.

The previous prime is 30400531327. The next prime is 30400531349. The reversal of 30400531344 is 44313500403.

30400531344 is a `hidden beast` number, since 304 + 0 + 0 + 5 + 313 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17500114944 + 12900416400 = 132288^2 + 113580^2 .

It is not an unprimeable number, because it can be changed into a prime (30400531349) 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 5 ways as a sum of consecutive naturals, for example, 105557257 + ... + 105557544.

Almost surely, 230400531344 is an apocalyptic number.

It is an amenable number.

30400531344 is an abundant number, since it is smaller than the sum of its proper divisors (54678733862).

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

30400531344 is a wasteful number, since it uses less digits than its factorization.

30400531344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211114815 (or 211114806 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The spelling of 30400531344 in words is "thirty billion, four hundred million, five hundred thirty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 211114801 422229602 633344403 844459204 1266688806 1688918408 1900033209 2533377612 3377836816 3800066418 5066755224 7600132836 10133510448 15200265672 30400531344