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34430355329 is a prime number
BaseRepresentation
bin100000000100001101…
…011000011110000001
310021212111210021100112
4200010031120132001
51031003132332304
623452254001105
72326134122456
oct400415303601
9107774707315
1034430355329
1113669046617
12680a7a6195
1333291c5a26
1419489c582d
15d67a5bb6e
hex804358781

34430355329 has 2 divisors, whose sum is σ = 34430355330. Its totient is φ = 34430355328.

The previous prime is 34430355301. The next prime is 34430355331. The reversal of 34430355329 is 92355303443.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 27003362929 + 7426992400 = 164327^2 + 86180^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34430355329 is a prime.

Together with 34430355331, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (34430355929) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17215177664 + 17215177665.

It is an arithmetic number, because the mean of its divisors is an integer number (17215177665).

Almost surely, 234430355329 is an apocalyptic number.

It is an amenable number.

34430355329 is a deficient number, since it is larger than the sum of its proper divisors (1).

34430355329 is an equidigital number, since it uses as much as digits as its factorization.

34430355329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 583200, while the sum is 41.

The spelling of 34430355329 in words is "thirty-four billion, four hundred thirty million, three hundred fifty-five thousand, three hundred twenty-nine".