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34240234097 is a prime number
BaseRepresentation
bin11111111000111000…
…001000001001110001
310021101021001010001102
4133320320020021301
51030110444442342
623421343014145
72321335121246
oct377070101161
9107337033042
1034240234097
11135807a0733
126776b9a355
1332c89ba064
14192b6555cd
15d56004832
hex7f8e08271

34240234097 has 2 divisors, whose sum is σ = 34240234098. Its totient is φ = 34240234096.

The previous prime is 34240234079. The next prime is 34240234151. The reversal of 34240234097 is 79043204243.

Together with previous prime (34240234079) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 26089033441 + 8151200656 = 161521^2 + 90284^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34240234097 is a prime.

It is a super-2 number, since 2×342402340972 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34240234097.

It is not a weakly prime, because it can be changed into another prime (34240234057) 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, 17120117048 + 17120117049.

It is an arithmetic number, because the mean of its divisors is an integer number (17120117049).

Almost surely, 234240234097 is an apocalyptic number.

It is an amenable number.

34240234097 is a deficient number, since it is larger than the sum of its proper divisors (1).

34240234097 is an equidigital number, since it uses as much as digits as its factorization.

34240234097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 145152, while the sum is 38.

The spelling of 34240234097 in words is "thirty-four billion, two hundred forty million, two hundred thirty-four thousand, ninety-seven".