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34006514309 is a prime number
BaseRepresentation
bin11111101010111100…
…100011101010000101
310020202222020220202222
4133222330203222011
51024121131424214
623342233342125
72312466413405
oct375274435205
9106688226688
1034006514309
1113470877589
126710867945
13328c457921
1419085b6805
15d4073938e
hex7eaf23a85

34006514309 has 2 divisors, whose sum is σ = 34006514310. Its totient is φ = 34006514308.

The previous prime is 34006514303. The next prime is 34006514351. The reversal of 34006514309 is 90341560043.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 30597706084 + 3408808225 = 174922^2 + 58385^2 .

It is a cyclic number.

It is not a de Polignac number, because 34006514309 - 24 = 34006514293 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34006514303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17003257154 + 17003257155.

It is an arithmetic number, because the mean of its divisors is an integer number (17003257155).

Almost surely, 234006514309 is an apocalyptic number.

It is an amenable number.

34006514309 is a deficient number, since it is larger than the sum of its proper divisors (1).

34006514309 is an equidigital number, since it uses as much as digits as its factorization.

34006514309 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 38880, while the sum is 35.

The spelling of 34006514309 in words is "thirty-four billion, six million, five hundred fourteen thousand, three hundred nine".