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34682016329 is a prime number
BaseRepresentation
bin100000010011001101…
…011001001001001001
310022112001022222100022
4200103031121021021
51032012044010304
623533243550225
72335311163142
oct402315311111
9108461288308
1034682016329
1113788104214
12687ab2b375
13336939a46c
1419701b4ac9
15d7ebbcebe
hex813359249

34682016329 has 2 divisors, whose sum is σ = 34682016330. Its totient is φ = 34682016328.

The previous prime is 34682016323. The next prime is 34682016349. The reversal of 34682016329 is 92361028643.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 29601890704 + 5080125625 = 172052^2 + 71275^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34682016329 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34682016329.

It is not a weakly prime, because it can be changed into another prime (34682016323) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17341008164 + 17341008165.

It is an arithmetic number, because the mean of its divisors is an integer number (17341008165).

Almost surely, 234682016329 is an apocalyptic number.

It is an amenable number.

34682016329 is a deficient number, since it is larger than the sum of its proper divisors (1).

34682016329 is an equidigital number, since it uses as much as digits as its factorization.

34682016329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 373248, while the sum is 44.

The spelling of 34682016329 in words is "thirty-four billion, six hundred eighty-two million, sixteen thousand, three hundred twenty-nine".