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1345837993 is a prime number
BaseRepresentation
bin101000000110111…
…1101101110101001
310110210102122122121
41100031331232221
510224013303433
6341313551241
745231301633
oct12015755651
93423378577
101345837993
11630766005
12316875521
13185a96b56
14caa53a53
157d246c2d
hex5037dba9

1345837993 has 2 divisors, whose sum is σ = 1345837994. Its totient is φ = 1345837992.

The previous prime is 1345837981. The next prime is 1345838071. The reversal of 1345837993 is 3997385431.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1170460944 + 175377049 = 34212^2 + 13243^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1345837993 is a prime.

It is a super-2 number, since 2×13458379932 = 3622559806804536098, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1345837993.

It is not a weakly prime, because it can be changed into another prime (1345837973) 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, 672918996 + 672918997.

It is an arithmetic number, because the mean of its divisors is an integer number (672918997).

Almost surely, 21345837993 is an apocalyptic number.

It is an amenable number.

1345837993 is a deficient number, since it is larger than the sum of its proper divisors (1).

1345837993 is an equidigital number, since it uses as much as digits as its factorization.

1345837993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2449440, while the sum is 52.

The square root of 1345837993 is about 36685.6646798174. The cubic root of 1345837993 is about 1104.0725052259.

The spelling of 1345837993 in words is "one billion, three hundred forty-five million, eight hundred thirty-seven thousand, nine hundred ninety-three".