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34013242404 = 2232944812289
BaseRepresentation
bin11111101011010110…
…001110010000100100
310020210102220201222200
4133223112032100210
51024124342224104
623343033454500
72312610535011
oct375326162044
9106712821880
1034013242404
1113474652499
126712b71430
13329097214b
141909448708
15d41117b39
hex7eb58e424

34013242404 has 18 divisors (see below), whose sum is σ = 85977918390. Its totient is φ = 11337747456.

The previous prime is 34013242363. The next prime is 34013242493. The reversal of 34013242404 is 40424231043.

It is a happy number.

34013242404 is a `hidden beast` number, since 3 + 4 + 0 + 13 + 242 + 404 = 666.

It can be written as a sum of positive squares in only one way, i.e., 33197568804 + 815673600 = 182202^2 + 28560^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 472406109 + ... + 472406180.

Almost surely, 234013242404 is an apocalyptic number.

It is an amenable number.

34013242404 is an abundant number, since it is smaller than the sum of its proper divisors (51964675986).

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

34013242404 is a wasteful number, since it uses less digits than its factorization.

34013242404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 944812299 (or 944812294 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 34013242404 its reverse (40424231043), we get a palindrome (74437473447).

The spelling of 34013242404 in words is "thirty-four billion, thirteen million, two hundred forty-two thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 944812289 1889624578 2834436867 3779249156 5668873734 8503310601 11337747468 17006621202 34013242404