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34065904 = 242129119
BaseRepresentation
bin1000000111110…
…0110111110000
32101002201122011
42001330313300
532210102104
63214052304
7562361335
oct201746760
971081564
1034065904
1118258244
12b4aa094
137099852
14474a98c
152ecd904
hex207cdf0

34065904 has 10 divisors (see below), whose sum is σ = 66002720. Its totient is φ = 17032944.

The previous prime is 34065901. The next prime is 34065919. The reversal of 34065904 is 40956043.

34065904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34065901) 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 as a sum of consecutive naturals, namely, 1064544 + ... + 1064575.

It is an arithmetic number, because the mean of its divisors is an integer number (6600272).

Almost surely, 234065904 is an apocalyptic number.

It is an amenable number.

34065904 is a deficient number, since it is larger than the sum of its proper divisors (31936816).

34065904 is a wasteful number, since it uses less digits than its factorization.

34065904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2129127 (or 2129121 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 34065904 is about 5836.6003803584. The cubic root of 34065904 is about 324.1703620652.

It can be divided in two parts, 34065 and 904, that added together give a square (34969 = 1872).

The spelling of 34065904 in words is "thirty-four million, sixty-five thousand, nine hundred four".

Divisors: 1 2 4 8 16 2129119 4258238 8516476 17032952 34065904