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1338242593 is a prime number
BaseRepresentation
bin100111111000011…
…1111011000100001
310110021010202201111
41033300333120201
510220042230333
6340443103321
745106605622
oct11760773041
93407122644
101338242593
11627448516
12314211b41
1318433792c
14c9a37a49
157c7464cd
hex4fc3f621

1338242593 has 2 divisors, whose sum is σ = 1338242594. Its totient is φ = 1338242592.

The previous prime is 1338242579. The next prime is 1338242617. The reversal of 1338242593 is 3952428331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1083265569 + 254977024 = 32913^2 + 15968^2 .

It is a cyclic number.

It is not a de Polignac number, because 1338242593 - 217 = 1338111521 is a prime.

It is not a weakly prime, because it can be changed into another prime (1338242573) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 669121296 + 669121297.

It is an arithmetic number, because the mean of its divisors is an integer number (669121297).

Almost surely, 21338242593 is an apocalyptic number.

It is an amenable number.

1338242593 is a deficient number, since it is larger than the sum of its proper divisors (1).

1338242593 is an equidigital number, since it uses as much as digits as its factorization.

1338242593 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 155520, while the sum is 40.

The square root of 1338242593 is about 36581.9982095019. The cubic root of 1338242593 is about 1101.9915966369.

The spelling of 1338242593 in words is "one billion, three hundred thirty-eight million, two hundred forty-two thousand, five hundred ninety-three".