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34023205017 = 32172130310039
BaseRepresentation
bin11111101011111100…
…001110100010011001
310020211010122220010100
4133223330032202121
51024134420030032
623344031210013
72313061320354
oct375374164231
9106733586110
1034023205017
111347a23755a
126716376909
133292a4c999
14190a8bd29b
15d41e3497c
hex7ebf0e899

34023205017 has 36 divisors (see below), whose sum is σ = 52250810560. Its totient is φ = 21329384832.

The previous prime is 34023204991. The next prime is 34023205049. The reversal of 34023205017 is 71050232043.

It is not a de Polignac number, because 34023205017 - 26 = 34023204953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34023206017) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3384084 + ... + 3394122.

Almost surely, 234023205017 is an apocalyptic number.

It is an amenable number.

34023205017 is a deficient number, since it is larger than the sum of its proper divisors (18227605543).

34023205017 is a wasteful number, since it uses less digits than its factorization.

34023205017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11382 (or 11362 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The spelling of 34023205017 in words is "thirty-four billion, twenty-three million, two hundred five thousand, seventeen".

Divisors: 1 3 9 17 51 153 289 867 1303 2601 3909 10039 11727 22151 30117 66453 90351 170663 199359 376567 511989 1129701 1535967 2901271 3389103 8703813 13080817 26111439 39242451 117727353 222373889 667121667 2001365001 3780356113 11341068339 34023205017