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1305457393 is a prime number
BaseRepresentation
bin100110111001111…
…1011001011110001
310100222110002212211
41031303323023301
510133144114033
6333312252121
744231130142
oct11563731361
93328402784
101305457393
1160a995509
12305241041
1317a5c8cc6
14c5541ac9
157991c2cd
hex4dcfb2f1

1305457393 has 2 divisors, whose sum is σ = 1305457394. Its totient is φ = 1305457392.

The previous prime is 1305457379. The next prime is 1305457397. The reversal of 1305457393 is 3937545031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1292258704 + 13198689 = 35948^2 + 3633^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1305457393 is a prime.

It is not a weakly prime, because it can be changed into another prime (1305457397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 652728696 + 652728697.

It is an arithmetic number, because the mean of its divisors is an integer number (652728697).

Almost surely, 21305457393 is an apocalyptic number.

It is an amenable number.

1305457393 is a deficient number, since it is larger than the sum of its proper divisors (1).

1305457393 is an equidigital number, since it uses as much as digits as its factorization.

1305457393 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 170100, while the sum is 40.

The square root of 1305457393 is about 36131.1139186159. The cubic root of 1305457393 is about 1092.9179714257.

The spelling of 1305457393 in words is "one billion, three hundred five million, four hundred fifty-seven thousand, three hundred ninety-three".