Search a number
-
+
34313077 is a prime number
BaseRepresentation
bin1000001011100…
…1001101110101
32101120021200201
42002321031311
532241004302
63223240501
7564441061
oct202711565
971507621
1034313077
1118406a17
12b5a9131
1371551c6
1447b2aa1
15302bc87
hex20b9375

34313077 has 2 divisors, whose sum is σ = 34313078. Its totient is φ = 34313076.

The previous prime is 34313053. The next prime is 34313099. The reversal of 34313077 is 77031343.

34313077 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31069476 + 3243601 = 5574^2 + 1801^2 .

It is a cyclic number.

It is not a de Polignac number, because 34313077 - 219 = 33788789 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34313977) 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, 17156538 + 17156539.

It is an arithmetic number, because the mean of its divisors is an integer number (17156539).

Almost surely, 234313077 is an apocalyptic number.

It is an amenable number.

34313077 is a deficient number, since it is larger than the sum of its proper divisors (1).

34313077 is an equidigital number, since it uses as much as digits as its factorization.

34313077 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5292, while the sum is 28.

The square root of 34313077 is about 5857.7365082428. The cubic root of 34313077 is about 324.9525043019.

The spelling of 34313077 in words is "thirty-four million, three hundred thirteen thousand, seventy-seven".