Search a number
-
+
34780769 is a prime number
BaseRepresentation
bin1000010010101…
…1011001100001
32102110001020122
42010223121201
532400441034
63241250025
7601426442
oct204533141
972401218
1034780769
11186a6341
12b793915
13728a04a
1448952c9
1530c062e
hex212b661

34780769 has 2 divisors, whose sum is σ = 34780770. Its totient is φ = 34780768.

The previous prime is 34780747. The next prime is 34780783. The reversal of 34780769 is 96708743.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 34668544 + 112225 = 5888^2 + 335^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34780769 is a prime.

It is a super-2 number, since 2×347807692 = 2419403784462722, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (34780709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17390384 + 17390385.

It is an arithmetic number, because the mean of its divisors is an integer number (17390385).

Almost surely, 234780769 is an apocalyptic number.

It is an amenable number.

34780769 is a deficient number, since it is larger than the sum of its proper divisors (1).

34780769 is an equidigital number, since it uses as much as digits as its factorization.

34780769 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 254016, while the sum is 44.

The square root of 34780769 is about 5897.5222763462. The cubic root of 34780769 is about 326.4222294439.

The spelling of 34780769 in words is "thirty-four million, seven hundred eighty thousand, seven hundred sixty-nine".