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34039845 = 345712007
BaseRepresentation
bin1000000111011…
…0100000100101
32101001101220000
42001312200211
532203233340
63213331513
7562222350
oct201664045
971041800
1034039845
111823a704
12b496b99
13708aa28
144741297
152ec5d30
hex2076825

34039845 has 40 divisors (see below), whose sum is σ = 69742464. Its totient is φ = 15559776.

The previous prime is 34039813. The next prime is 34039879. The reversal of 34039845 is 54893043.

It is not a de Polignac number, because 34039845 - 25 = 34039813 is a prime.

It is a super-3 number, since 3×340398453 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3169 + ... + 8838.

Almost surely, 234039845 is an apocalyptic number.

34039845 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34039845 is an abundant number, since it is smaller than the sum of its proper divisors (35702619).

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

34039845 is a wasteful number, since it uses less digits than its factorization.

34039845 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12031 (or 12022 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 34039845 is about 5834.3675749819. The cubic root of 34039845 is about 324.0876820304.

The spelling of 34039845 in words is "thirty-four million, thirty-nine thousand, eight hundred forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 81 105 135 189 315 405 567 945 2835 12007 36021 60035 84049 108063 180105 252147 324189 420245 540315 756441 972567 1260735 1620945 2269323 3782205 4862835 6807969 11346615 34039845