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34075319004 = 2233315512213
BaseRepresentation
bin11111101111000011…
…000001101011011100
310020221202201120002000
4133233003001223130
51024241240202004
623353132202300
72314263301236
oct375703015334
9106852646060
1034075319004
11134a66a1571
12672b909390
1332a079836c
1419137a7256
15d467cac39
hex7ef0c1adc

34075319004 has 24 divisors (see below), whose sum is σ = 88343419920. Its totient is φ = 11358439632.

The previous prime is 34075318999. The next prime is 34075319021. The reversal of 34075319004 is 40091357043.

34075319004 is a `hidden beast` number, since 34 + 0 + 7 + 531 + 90 + 0 + 4 = 666.

It is a super-2 number, since 2×340753190042 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 34075319004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 157755999 + ... + 157756214.

It is an arithmetic number, because the mean of its divisors is an integer number (3680975830).

Almost surely, 234075319004 is an apocalyptic number.

It is an amenable number.

34075319004 is an abundant number, since it is smaller than the sum of its proper divisors (54268100916).

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

34075319004 is a wasteful number, since it uses less digits than its factorization.

34075319004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315512226 (or 315512218 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 34075319004 in words is "thirty-four billion, seventy-five million, three hundred nineteen thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 315512213 631024426 946536639 1262048852 1893073278 2839609917 3786146556 5679219834 8518829751 11358439668 17037659502 34075319004