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34023289 is a prime number
BaseRepresentation
bin1000000111001…
…0011101111001
32101000120011211
42001302131321
532202221124
63213123121
7562123156
oct201623571
971016154
1034023289
1118229223
12b4894a1
137083331
14473922d
152ec0e94
hex2072779

34023289 has 2 divisors, whose sum is σ = 34023290. Its totient is φ = 34023288.

The previous prime is 34023287. The next prime is 34023331. The reversal of 34023289 is 98232043.

34023289 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 30162064 + 3861225 = 5492^2 + 1965^2 .

It is a cyclic number.

It is not a de Polignac number, because 34023289 - 21 = 34023287 is a prime.

Together with 34023287, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34023289.

It is not a weakly prime, because it can be changed into another prime (34023287) 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, 17011644 + 17011645.

It is an arithmetic number, because the mean of its divisors is an integer number (17011645).

Almost surely, 234023289 is an apocalyptic number.

It is an amenable number.

34023289 is a deficient number, since it is larger than the sum of its proper divisors (1).

34023289 is an equidigital number, since it uses as much as digits as its factorization.

34023289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 34023289 is about 5832.9485682629. The cubic root of 34023289 is about 324.0351312056.

The spelling of 34023289 in words is "thirty-four million, twenty-three thousand, two hundred eighty-nine".