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34000442532 = 22327134922391
BaseRepresentation
bin11111101010100101…
…011001010010100100
310020202112211102212100
4133222211121102210
51024113103130112
623341455252100
72312363664420
oct375245312244
9106675742770
1034000442532
11134683aa791
12670a81a030
13328b110064
141907875b80
15d3ee3a2dc
hex7ea9594a4

34000442532 has 36 divisors (see below), whose sum is σ = 98223501376. Its totient is φ = 9714412080.

The previous prime is 34000442521. The next prime is 34000442543. The reversal of 34000442532 is 23524400043.

34000442532 is a `hidden beast` number, since 3 + 400 + 0 + 4 + 4 + 253 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (34000442521) and next prime (34000442543).

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

It is a junction number, because it is equal to n+sod(n) for n = 34000442496 and 34000442505.

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, 67460944 + ... + 67461447.

Almost surely, 234000442532 is an apocalyptic number.

It is an amenable number.

34000442532 is an abundant number, since it is smaller than the sum of its proper divisors (64223058844).

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

34000442532 is a wasteful number, since it uses less digits than its factorization.

34000442532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134922408 (or 134922403 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

Adding to 34000442532 its reverse (23524400043), we get a palindrome (57524842575).

The spelling of 34000442532 in words is "thirty-four billion, four hundred forty-two thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 134922391 269844782 404767173 539689564 809534346 944456737 1214301519 1619068692 1888913474 2428603038 2833370211 3777826948 4857206076 5666740422 8500110633 11333480844 17000221266 34000442532