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34005072492 = 22324123038667
BaseRepresentation
bin11111101010110111…
…000011101001101100
310020202212112122222100
4133222313003221230
51024120244304432
623342142415100
72312451230016
oct375267035154
9106685478870
1034005072492
111346aa822a6
126710291490
13328c071591
14190831d1b6
15d4055207c
hex7eadc3a6c

34005072492 has 36 divisors (see below), whose sum is σ = 88053789096. Its totient is φ = 11058559680.

The previous prime is 34005072403. The next prime is 34005072523. The reversal of 34005072492 is 29427050043.

34005072492 is a `hidden beast` number, since 3 + 40 + 0 + 507 + 24 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11517858 + ... + 11520809.

It is an arithmetic number, because the mean of its divisors is an integer number (2445938586).

Almost surely, 234005072492 is an apocalyptic number.

It is an amenable number.

34005072492 is an abundant number, since it is smaller than the sum of its proper divisors (54048716604).

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

34005072492 is a wasteful number, since it uses less digits than its factorization.

34005072492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23038718 (or 23038713 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 34005072492 in words is "thirty-four billion, five million, seventy-two thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 23038667 46077334 69116001 92154668 138232002 207348003 276464004 414696006 829392012 944585347 1889170694 2833756041 3778341388 5667512082 8501268123 11335024164 17002536246 34005072492