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2338590817 is a prime number
BaseRepresentation
bin1000101101100100…
…0001000001100001
320000222110201111201
42023121001001201
514242134401232
61024020041201
7111644460013
oct21331010141
96028421451
102338590817
11aa0089992
12553233201
132b3667464
141828361b3
15da495be7
hex8b641061

2338590817 has 2 divisors, whose sum is σ = 2338590818. Its totient is φ = 2338590816.

The previous prime is 2338590791. The next prime is 2338590833. The reversal of 2338590817 is 7180958332.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1520688016 + 817902801 = 38996^2 + 28599^2 .

It is a cyclic number.

It is not a de Polignac number, because 2338590817 - 27 = 2338590689 is a prime.

It is not a weakly prime, because it can be changed into another prime (2338590857) 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, 1169295408 + 1169295409.

It is an arithmetic number, because the mean of its divisors is an integer number (1169295409).

Almost surely, 22338590817 is an apocalyptic number.

It is an amenable number.

2338590817 is a deficient number, since it is larger than the sum of its proper divisors (1).

2338590817 is an equidigital number, since it uses as much as digits as its factorization.

2338590817 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 362880, while the sum is 46.

The square root of 2338590817 is about 48358.9786596036. The cubic root of 2338590817 is about 1327.3478376646.

The spelling of 2338590817 in words is "two billion, three hundred thirty-eight million, five hundred ninety thousand, eight hundred seventeen".