Search a number
34075289 is a prime number
BaseRepresentation
bin1000000111111…
…1001010011001
32101010012111202
42001333022121
532210402124
63214203545
7562430603
oct201771231
971105452
1034075289
11182642a6
12b4b35b5
1370a0bc1
144750173
152ed15ae
hex207f299

34075289 has 2 divisors, whose sum is σ = 34075290. Its totient is φ = 34075288.

The previous prime is 34075267. The next prime is 34075309. The reversal of 34075289 is 98257043.

34075289 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., 29593600 + 4481689 = 5440^2 + 2117^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34075289 is a prime.

It is a super-2 number, since 2×340752892 = 2322250640867042, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (34075219) 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, 17037644 + 17037645.

It is an arithmetic number, because the mean of its divisors is an integer number (17037645).

Almost surely, 234075289 is an apocalyptic number.

It is an amenable number.

34075289 is a deficient number, since it is larger than the sum of its proper divisors (1).

34075289 is an equidigital number, since it uses as much as digits as its factorization.

34075289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 60480, while the sum is 38.

The square root of 34075289 is about 5837.4043032841. The cubic root of 34075289 is about 324.2001284802.

The spelling of 34075289 in words is "thirty-four million, seventy-five thousand, two hundred eighty-nine".