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34106107 = 723122453
BaseRepresentation
bin1000001000011…
…0101011111011
32101011202210011
42002012223323
532212343412
63215002351
7562616500
oct202065373
971152704
1034106107
1118285472
12b5093b7
1370b1c39
14475b4a7
152eda7a7
hex2086afb

34106107 has 12 divisors (see below), whose sum is σ = 40956096. Its totient is φ = 28289520.

The previous prime is 34106089. The next prime is 34106113. The reversal of 34106107 is 70160143.

34106107 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 34106107 - 219 = 33581819 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34106147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9708 + ... + 12745.

It is an arithmetic number, because the mean of its divisors is an integer number (3413008).

Almost surely, 234106107 is an apocalyptic number.

34106107 is a deficient number, since it is larger than the sum of its proper divisors (6849989).

34106107 is a wasteful number, since it uses less digits than its factorization.

34106107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22498 (or 22491 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 34106107 is about 5840.0434073729. The cubic root of 34106107 is about 324.2978355413.

The spelling of 34106107 in words is "thirty-four million, one hundred six thousand, one hundred seven".

Divisors: 1 7 31 49 217 1519 22453 157171 696043 1100197 4872301 34106107