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34243322257 is a prime number
BaseRepresentation
bin11111111001000011…
…111010000110010001
310021101110212000012201
4133321003322012101
51030112242303012
623421533123201
72321403302524
oct377103720621
9107343760181
1034243322257
111358250a931
126778029501
1332c952b881
14192bc1abbb
15d56414857
hex7f90fa191

34243322257 has 2 divisors, whose sum is σ = 34243322258. Its totient is φ = 34243322256.

The previous prime is 34243322227. The next prime is 34243322263. The reversal of 34243322257 is 75222334243.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33974231041 + 269091216 = 184321^2 + 16404^2 .

It is a cyclic number.

It is not a de Polignac number, because 34243322257 - 27 = 34243322129 is a prime.

It is not a weakly prime, because it can be changed into another prime (34243322227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17121661128 + 17121661129.

It is an arithmetic number, because the mean of its divisors is an integer number (17121661129).

Almost surely, 234243322257 is an apocalyptic number.

It is an amenable number.

34243322257 is a deficient number, since it is larger than the sum of its proper divisors (1).

34243322257 is an equidigital number, since it uses as much as digits as its factorization.

34243322257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 241920, while the sum is 37.

The spelling of 34243322257 in words is "thirty-four billion, two hundred forty-three million, three hundred twenty-two thousand, two hundred fifty-seven".