Search a number
-
+
34442813 is a prime number
BaseRepresentation
bin1000001101100…
…0111000111101
32101210212122202
42003120320331
532304132223
63230121245
7565521236
oct203307075
971725582
1034442813
1118495439
12b650225
13719c282
14480808d
153055428
hex20d8e3d

34442813 has 2 divisors, whose sum is σ = 34442814. Its totient is φ = 34442812.

The previous prime is 34442809. The next prime is 34442851. The reversal of 34442813 is 31824443.

34442813 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 30228004 + 4214809 = 5498^2 + 2053^2 .

It is a cyclic number.

It is not a de Polignac number, because 34442813 - 22 = 34442809 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34442113) 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, 17221406 + 17221407.

It is an arithmetic number, because the mean of its divisors is an integer number (17221407).

Almost surely, 234442813 is an apocalyptic number.

It is an amenable number.

34442813 is a deficient number, since it is larger than the sum of its proper divisors (1).

34442813 is an equidigital number, since it uses as much as digits as its factorization.

34442813 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 9216, while the sum is 29.

The square root of 34442813 is about 5868.7999625136. The cubic root of 34442813 is about 325.3615321968.

The spelling of 34442813 in words is "thirty-four million, four hundred forty-two thousand, eight hundred thirteen".