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34434105397 is a prime number
BaseRepresentation
bin100000000100011011…
…101100000000110101
310021212202211210110221
4200010123230000311
51031010112333042
623452510214341
72326211031556
oct400433540065
9107782753427
1034434105397
111367017804a
12680bab43b1
133329c098c3
1419492c032d
15d6804cd67
hex8046ec035

34434105397 has 2 divisors, whose sum is σ = 34434105398. Its totient is φ = 34434105396.

The previous prime is 34434105371. The next prime is 34434105439. The reversal of 34434105397 is 79350143443.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19949020081 + 14485085316 = 141241^2 + 120354^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34434105397 is a prime.

It is a super-2 number, since 2×344341053972 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34434105317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17217052698 + 17217052699.

It is an arithmetic number, because the mean of its divisors is an integer number (17217052699).

Almost surely, 234434105397 is an apocalyptic number.

It is an amenable number.

34434105397 is a deficient number, since it is larger than the sum of its proper divisors (1).

34434105397 is an equidigital number, since it uses as much as digits as its factorization.

34434105397 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 544320, while the sum is 43.

The spelling of 34434105397 in words is "thirty-four billion, four hundred thirty-four million, one hundred five thousand, three hundred ninety-seven".