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34006673329 is a prime number
BaseRepresentation
bin11111101010111101…
…001010011110110001
310020202222112222220121
4133222331022132301
51024121202021304
623342241010241
72312500645126
oct375275123661
9106688488817
1034006673329
1113470976002
126710923981
13328c4b2115
14190861874d
15d4076b554
hex7eaf4a7b1

34006673329 has 2 divisors, whose sum is σ = 34006673330. Its totient is φ = 34006673328.

The previous prime is 34006673321. The next prime is 34006673357. The reversal of 34006673329 is 92337660043.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 32905960000 + 1100713329 = 181400^2 + 33177^2 .

It is an emirp because it is prime and its reverse (92337660043) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34006673329 - 23 = 34006673321 is a prime.

It is not a weakly prime, because it can be changed into another prime (34006673321) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17003336664 + 17003336665.

It is an arithmetic number, because the mean of its divisors is an integer number (17003336665).

Almost surely, 234006673329 is an apocalyptic number.

It is an amenable number.

34006673329 is a deficient number, since it is larger than the sum of its proper divisors (1).

34006673329 is an equidigital number, since it uses as much as digits as its factorization.

34006673329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 489888, while the sum is 43.

The spelling of 34006673329 in words is "thirty-four billion, six million, six hundred seventy-three thousand, three hundred twenty-nine".