Search a number
-
+
34373506781 is a prime number
BaseRepresentation
bin100000000000110100…
…100001011011011101
310021201112211001210202
4200000310201123131
51030344104204111
623442503313245
72324543662325
oct400064413335
9107645731722
1034373506781
1113639a48449
1267b374b825
13331a4b0333
141941228285
15d62a7cb3b
hex800d216dd

34373506781 has 2 divisors, whose sum is σ = 34373506782. Its totient is φ = 34373506780.

The previous prime is 34373506763. The next prime is 34373506787. The reversal of 34373506781 is 18760537343.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33740179225 + 633327556 = 183685^2 + 25166^2 .

It is a cyclic number.

It is not a de Polignac number, because 34373506781 - 210 = 34373505757 is a prime.

It is a super-2 number, since 2×343735067812 (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 (34373506787) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17186753390 + 17186753391.

It is an arithmetic number, because the mean of its divisors is an integer number (17186753391).

Almost surely, 234373506781 is an apocalyptic number.

It is an amenable number.

34373506781 is a deficient number, since it is larger than the sum of its proper divisors (1).

34373506781 is an equidigital number, since it uses as much as digits as its factorization.

34373506781 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1270080, while the sum is 47.

The spelling of 34373506781 in words is "thirty-four billion, three hundred seventy-three million, five hundred six thousand, seven hundred eighty-one".