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344077670017 is a prime number
BaseRepresentation
bin1010000000111001010…
…00001001011010000001
31012220010100211122221001
411000130220021122001
521114132340420032
6422022254332001
733600364640044
oct5003450113201
91186110748831
10344077670017
11122a16969164
1256826aba001
13265a5928563
14129210c0c5b
158e3c15e3e7
hex501ca09681

344077670017 has 2 divisors, whose sum is σ = 344077670018. Its totient is φ = 344077670016.

The previous prime is 344077669979. The next prime is 344077670023. The reversal of 344077670017 is 710076770443.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 342973038321 + 1104631696 = 585639^2 + 33236^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-344077670017 is a prime.

It is not a weakly prime, because it can be changed into another prime (344078670017) 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, 172038835008 + 172038835009.

It is an arithmetic number, because the mean of its divisors is an integer number (172038835009).

Almost surely, 2344077670017 is an apocalyptic number.

It is an amenable number.

344077670017 is a deficient number, since it is larger than the sum of its proper divisors (1).

344077670017 is an equidigital number, since it uses as much as digits as its factorization.

344077670017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 691488, while the sum is 46.

The spelling of 344077670017 in words is "three hundred forty-four billion, seventy-seven million, six hundred seventy thousand, seventeen".