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34024314193 is a prime number
BaseRepresentation
bin11111101100000000…
…011101010101010001
310020211012202020121221
4133230000131111101
51024140211023233
623344111045041
72313103620202
oct375400352521
9106735666557
1034024314193
111347a924931
126716810781
13329304a7bc
14190aacb5a9
15d420a342d
hex7ec01d551

34024314193 has 2 divisors, whose sum is σ = 34024314194. Its totient is φ = 34024314192.

The previous prime is 34024314173. The next prime is 34024314217. The reversal of 34024314193 is 39141342043.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 31436353809 + 2587960384 = 177303^2 + 50872^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34024314193 is a prime.

It is not a weakly prime, because it can be changed into another prime (34024314113) 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, 17012157096 + 17012157097.

It is an arithmetic number, because the mean of its divisors is an integer number (17012157097).

Almost surely, 234024314193 is an apocalyptic number.

It is an amenable number.

34024314193 is a deficient number, since it is larger than the sum of its proper divisors (1).

34024314193 is an equidigital number, since it uses as much as digits as its factorization.

34024314193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31104, while the sum is 34.

The spelling of 34024314193 in words is "thirty-four billion, twenty-four million, three hundred fourteen thousand, one hundred ninety-three".