Search a number
-
+
34736013379 is a prime number
BaseRepresentation
bin100000010110011011…
…011000000001000011
310022122210221022101001
4200112123120001003
51032114404412004
623542453152431
72336535146014
oct402633300103
9108583838331
1034736013379
1113805634a81
12689502b717
133377624c92
14197742d00b
15d847d71a4
hex8166d8043

34736013379 has 2 divisors, whose sum is σ = 34736013380. Its totient is φ = 34736013378.

The previous prime is 34736013353. The next prime is 34736013383. The reversal of 34736013379 is 97331063743.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34736013379 is a prime.

It is not a weakly prime, because it can be changed into another prime (34736013479) 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, 17368006689 + 17368006690.

It is an arithmetic number, because the mean of its divisors is an integer number (17368006690).

Almost surely, 234736013379 is an apocalyptic number.

34736013379 is a deficient number, since it is larger than the sum of its proper divisors (1).

34736013379 is an equidigital number, since it uses as much as digits as its factorization.

34736013379 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 857304, while the sum is 46.

The spelling of 34736013379 in words is "thirty-four billion, seven hundred thirty-six million, thirteen thousand, three hundred seventy-nine".