Search a number
-
+
34779000961 is a prime number
BaseRepresentation
bin100000011000111111…
…010111000010000001
310022202210211022020201
4200120333113002001
51032211411012321
623551030405201
72340566426155
oct403077270201
9108683738221
1034779000961
1113827926201
1268a7500801
1333834c6613
14197d01d065
15d88479291
hex818fd7081

34779000961 has 2 divisors, whose sum is σ = 34779000962. Its totient is φ = 34779000960.

The previous prime is 34779000923. The next prime is 34779001031. The reversal of 34779000961 is 16900097743.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 29222193025 + 5556807936 = 170945^2 + 74544^2 .

It is a cyclic number.

It is not a de Polignac number, because 34779000961 - 213 = 34778992769 is a prime.

It is not a weakly prime, because it can be changed into another prime (34779000461) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17389500480 + 17389500481.

It is an arithmetic number, because the mean of its divisors is an integer number (17389500481).

Almost surely, 234779000961 is an apocalyptic number.

It is an amenable number.

34779000961 is a deficient number, since it is larger than the sum of its proper divisors (1).

34779000961 is an equidigital number, since it uses as much as digits as its factorization.

34779000961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 285768, while the sum is 46.

The spelling of 34779000961 in words is "thirty-four billion, seven hundred seventy-nine million, nine hundred sixty-one", and thus it is an aban number.