Search a number
-
+
384117593 is a prime number
BaseRepresentation
bin10110111001010…
…010101101011001
3222202210012021112
4112321102231121
51241313230333
6102040550105
712342642236
oct2671225531
9882705245
10384117593
11187908262
12a8782335
1361770422
143902c78d
1523ac7948
hex16e52b59

384117593 has 2 divisors, whose sum is σ = 384117594. Its totient is φ = 384117592.

The previous prime is 384117589. The next prime is 384117611. The reversal of 384117593 is 395711483.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 368332864 + 15784729 = 19192^2 + 3973^2 .

It is a cyclic number.

It is not a de Polignac number, because 384117593 - 22 = 384117589 is a prime.

It is a super-2 number, since 2×3841175932 = 295092650504227298, 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 384117593.

It is not a weakly prime, because it can be changed into another prime (384117583) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 192058796 + 192058797.

It is an arithmetic number, because the mean of its divisors is an integer number (192058797).

Almost surely, 2384117593 is an apocalyptic number.

It is an amenable number.

384117593 is a deficient number, since it is larger than the sum of its proper divisors (1).

384117593 is an equidigital number, since it uses as much as digits as its factorization.

384117593 is an evil number, because the sum of its binary digits is even.

The product of its digits is 90720, while the sum is 41.

The square root of 384117593 is about 19598.9181589189. The cubic root of 384117593 is about 726.9224242348.

The spelling of 384117593 in words is "three hundred eighty-four million, one hundred seventeen thousand, five hundred ninety-three".