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34040057 is a prime number
BaseRepresentation
bin1000000111011…
…0100011111001
32101001102011212
42001312203321
532203240212
63213332505
7562223102
oct201664371
971042155
1034040057
111823a887
12b497135
13708ab5c
1447413a9
152ec5e22
hex20768f9

34040057 has 2 divisors, whose sum is σ = 34040058. Its totient is φ = 34040056.

The previous prime is 34040009. The next prime is 34040099. The reversal of 34040057 is 75004043.

34040057 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30426256 + 3613801 = 5516^2 + 1901^2 .

It is a cyclic number.

It is not a de Polignac number, because 34040057 - 28 = 34039801 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (34040857) 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, 17020028 + 17020029.

It is an arithmetic number, because the mean of its divisors is an integer number (17020029).

Almost surely, 234040057 is an apocalyptic number.

It is an amenable number.

34040057 is a deficient number, since it is larger than the sum of its proper divisors (1).

34040057 is an equidigital number, since it uses as much as digits as its factorization.

34040057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1680, while the sum is 23.

The square root of 34040057 is about 5834.3857431610. The cubic root of 34040057 is about 324.0883548345.

The spelling of 34040057 in words is "thirty-four million, forty thousand, fifty-seven".