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34376443249 is a prime number
BaseRepresentation
bin100000000000111111…
…101110010101110001
310021201202100020212211
4200000333232111301
51030400332140444
623443050252121
72324610642421
oct400077562561
9107652306784
1034376443249
1113640673685
1267b4727041
13331ac9aaa5
141941790481
15d62e5cc34
hex800fee571

34376443249 has 2 divisors, whose sum is σ = 34376443250. Its totient is φ = 34376443248.

The previous prime is 34376443193. The next prime is 34376443271. The reversal of 34376443249 is 94234467343.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 27848934400 + 6527508849 = 166880^2 + 80793^2 .

It is a cyclic number.

It is not a de Polignac number, because 34376443249 - 217 = 34376312177 is a prime.

It is not a weakly prime, because it can be changed into another prime (34376443649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17188221624 + 17188221625.

It is an arithmetic number, because the mean of its divisors is an integer number (17188221625).

Almost surely, 234376443249 is an apocalyptic number.

It is an amenable number.

34376443249 is a deficient number, since it is larger than the sum of its proper divisors (1).

34376443249 is an equidigital number, since it uses as much as digits as its factorization.

34376443249 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5225472, while the sum is 49.

The spelling of 34376443249 in words is "thirty-four billion, three hundred seventy-six million, four hundred forty-three thousand, two hundred forty-nine".