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34064033 is a prime number
BaseRepresentation
bin1000000111110…
…0011010100001
32101002122001212
42001330122201
532210022113
63214035505
7562353023
oct201743241
971078055
1034064033
11182568a3
12b4a8b95
137098a43
14474a013
152ecd0a8
hex207c6a1

34064033 has 2 divisors, whose sum is σ = 34064034. Its totient is φ = 34064032.

The previous prime is 34064029. The next prime is 34064053. The reversal of 34064033 is 33046043.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 33443089 + 620944 = 5783^2 + 788^2 .

It is a cyclic number.

It is not a de Polignac number, because 34064033 - 22 = 34064029 is a prime.

It is not a weakly prime, because it can be changed into another prime (34064003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17032016 + 17032017.

It is an arithmetic number, because the mean of its divisors is an integer number (17032017).

Almost surely, 234064033 is an apocalyptic number.

It is an amenable number.

34064033 is a deficient number, since it is larger than the sum of its proper divisors (1).

34064033 is an equidigital number, since it uses as much as digits as its factorization.

34064033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 23.

The square root of 34064033 is about 5836.4400964972. The cubic root of 34064033 is about 324.1644271588.

The spelling of 34064033 in words is "thirty-four million, sixty-four thousand, thirty-three".