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34738582393 is a prime number
BaseRepresentation
bin100000010110100101…
…001011001101111001
310022122222202211101201
4200112211023031321
51032121034114033
623543024214201
72336566035604
oct402645131571
9108588684351
1034738582393
111380702a129
126895a6a361
1333780143c8
1419778db33b
15d84b4347d
hex81694b379

34738582393 has 2 divisors, whose sum is σ = 34738582394. Its totient is φ = 34738582392.

The previous prime is 34738582349. The next prime is 34738582397. The reversal of 34738582393 is 39328583743.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 34680867984 + 57714409 = 186228^2 + 7597^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34738582393 is a prime.

It is not a weakly prime, because it can be changed into another prime (34738582397) 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, 17369291196 + 17369291197.

It is an arithmetic number, because the mean of its divisors is an integer number (17369291197).

Almost surely, 234738582393 is an apocalyptic number.

It is an amenable number.

34738582393 is a deficient number, since it is larger than the sum of its proper divisors (1).

34738582393 is an equidigital number, since it uses as much as digits as its factorization.

34738582393 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 13063680, while the sum is 55.

The spelling of 34738582393 in words is "thirty-four billion, seven hundred thirty-eight million, five hundred eighty-two thousand, three hundred ninety-three".