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34344124057 is a prime number
BaseRepresentation
bin11111111111000100…
…011011111010011001
310021122111112021021201
4133333010123322121
51030314043432212
623435533434201
72324036144365
oct377704337231
9107574467251
1034344124057
11136243a9801
1267a593b961
1333143932c9
14193b37a2a5
15d601c6b57
hex7ff11be99

34344124057 has 2 divisors, whose sum is σ = 34344124058. Its totient is φ = 34344124056.

The previous prime is 34344124019. The next prime is 34344124079. The reversal of 34344124057 is 75042144343.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 28860573456 + 5483550601 = 169884^2 + 74051^2 .

It is a cyclic number.

It is not a de Polignac number, because 34344124057 - 211 = 34344122009 is a prime.

It is a super-2 number, since 2×343441240572 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (34344124007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17172062028 + 17172062029.

It is an arithmetic number, because the mean of its divisors is an integer number (17172062029).

Almost surely, 234344124057 is an apocalyptic number.

It is an amenable number.

34344124057 is a deficient number, since it is larger than the sum of its proper divisors (1).

34344124057 is an equidigital number, since it uses as much as digits as its factorization.

34344124057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 161280, while the sum is 37.

The spelling of 34344124057 in words is "thirty-four billion, three hundred forty-four million, one hundred twenty-four thousand, fifty-seven".