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34354813 is a prime number
BaseRepresentation
bin1000001100001…
…1011001111101
32101122101221111
42003003121331
532243323223
63224202021
7565003543
oct203033175
971571844
1034354813
1118435309
12b609311
13716b1bc
1447c3d93
15303930d
hex20c367d

34354813 has 2 divisors, whose sum is σ = 34354814. Its totient is φ = 34354812.

The previous prime is 34354787. The next prime is 34354819. The reversal of 34354813 is 31845343.

34354813 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., 29571844 + 4782969 = 5438^2 + 2187^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34354813 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34354819) 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, 17177406 + 17177407.

It is an arithmetic number, because the mean of its divisors is an integer number (17177407).

Almost surely, 234354813 is an apocalyptic number.

It is an amenable number.

34354813 is a deficient number, since it is larger than the sum of its proper divisors (1).

34354813 is an equidigital number, since it uses as much as digits as its factorization.

34354813 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 17280, while the sum is 31.

The square root of 34354813 is about 5861.2978938116. The cubic root of 34354813 is about 325.0842006687.

The spelling of 34354813 in words is "thirty-four million, three hundred fifty-four thousand, eight hundred thirteen".