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34400661319 is a prime number
BaseRepresentation
bin100000000010011100…
…000110111101000111
310021210102220122211101
4200002130012331013
51030423032130234
623445313320531
72325323540143
oct400234067507
9107712818741
1034400661319
1113653305012
126800866147
133322cca0cb
141944a96223
15d65143814
hex802706f47

34400661319 has 2 divisors, whose sum is σ = 34400661320. Its totient is φ = 34400661318.

The previous prime is 34400661277. The next prime is 34400661331. The reversal of 34400661319 is 91316600443.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 34400661319 - 223 = 34392272711 is a prime.

It is a super-2 number, since 2×344006613192 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34400661019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17200330659 + 17200330660.

It is an arithmetic number, because the mean of its divisors is an integer number (17200330660).

Almost surely, 234400661319 is an apocalyptic number.

34400661319 is a deficient number, since it is larger than the sum of its proper divisors (1).

34400661319 is an equidigital number, since it uses as much as digits as its factorization.

34400661319 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 46656, while the sum is 37.

The spelling of 34400661319 in words is "thirty-four billion, four hundred million, six hundred sixty-one thousand, three hundred nineteen".