Search a number
-
+
385340393 is a prime number
BaseRepresentation
bin10110111101111…
…101001111101001
3222212002022122102
4112331331033221
51242121343033
6102123103145
712356224244
oct2675751751
9885068572
10385340393
11188572a39
12a9071ab5
1361aaab89
143926a25b
1523c69de8
hex16f7d3e9

385340393 has 2 divisors, whose sum is σ = 385340394. Its totient is φ = 385340392.

The previous prime is 385340341. The next prime is 385340437. The reversal of 385340393 is 393043583.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 358269184 + 27071209 = 18928^2 + 5203^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-385340393 is a prime.

It is equal to p20595647 and since 385340393 and 20595647 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (385340303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 192670196 + 192670197.

It is an arithmetic number, because the mean of its divisors is an integer number (192670197).

Almost surely, 2385340393 is an apocalyptic number.

It is an amenable number.

385340393 is a deficient number, since it is larger than the sum of its proper divisors (1).

385340393 is an equidigital number, since it uses as much as digits as its factorization.

385340393 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 116640, while the sum is 38.

The square root of 385340393 is about 19630.0889707612. The cubic root of 385340393 is about 727.6929688112.

The spelling of 385340393 in words is "three hundred eighty-five million, three hundred forty thousand, three hundred ninety-three".