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34638913 is a prime number
BaseRepresentation
bin1000010000100…
…0110001000001
32102011211122201
42010020301001
532331421123
63234233201
7600266041
oct204106101
972154581
1034638913
1118609801
12b725801
13723a5ca
144859721
1530935ad
hex2108c41

34638913 has 2 divisors, whose sum is σ = 34638914. Its totient is φ = 34638912.

The previous prime is 34638887. The next prime is 34638931. The reversal of 34638913 is 31983643.

Together with next prime (34638931) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30824704 + 3814209 = 5552^2 + 1953^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34638913 is a prime.

It is not a weakly prime, because it can be changed into another prime (34638113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17319456 + 17319457.

It is an arithmetic number, because the mean of its divisors is an integer number (17319457).

Almost surely, 234638913 is an apocalyptic number.

It is an amenable number.

34638913 is a deficient number, since it is larger than the sum of its proper divisors (1).

34638913 is an equidigital number, since it uses as much as digits as its factorization.

34638913 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 46656, while the sum is 37.

The square root of 34638913 is about 5885.4832426913. The cubic root of 34638913 is about 325.9778454840.

The spelling of 34638913 in words is "thirty-four million, six hundred thirty-eight thousand, nine hundred thirteen".