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34071106404 = 22317871588841
BaseRepresentation
bin11111101110110010…
…111101001101100100
310020221110210112110210
4133232302331031210
51024234200401104
623352502015420
72314212424506
oct375662751544
9106843715423
1034071106404
11134a4284585
12672a417570
13329c951aba
141912dcbd76
15d46247989
hex7eecbd364

34071106404 has 24 divisors (see below), whose sum is σ = 79543785888. Its totient is φ = 11350672960.

The previous prime is 34071106397. The next prime is 34071106439. The reversal of 34071106404 is 40460117043.

It is a super-3 number, since 3×340711064043 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 772977 + ... + 815864.

It is an arithmetic number, because the mean of its divisors is an integer number (3314324412).

Almost surely, 234071106404 is an apocalyptic number.

It is an amenable number.

34071106404 is an abundant number, since it is smaller than the sum of its proper divisors (45472679484).

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

34071106404 is a wasteful number, since it uses less digits than its factorization.

34071106404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1590635 (or 1590633 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The spelling of 34071106404 in words is "thirty-four billion, seventy-one million, one hundred six thousand, four hundred four".

Divisors: 1 2 3 4 6 12 1787 3574 5361 7148 10722 21444 1588841 3177682 4766523 6355364 9533046 19066092 2839258867 5678517734 8517776601 11357035468 17035553202 34071106404