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385668317 is a prime number
BaseRepresentation
bin10110111111001…
…101010011011101
3222212200222110202
4112333031103131
51242212341232
6102134113245
712362061266
oct2677152335
9885628422
10385668317
11188777351
12a91ab825
1361b94208
143931396d
1523cd2162
hex16fcd4dd

385668317 has 2 divisors, whose sum is σ = 385668318. Its totient is φ = 385668316.

The previous prime is 385668299. The next prime is 385668331. The reversal of 385668317 is 713866583.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 306565081 + 79103236 = 17509^2 + 8894^2 .

It is an emirp because it is prime and its reverse (713866583) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 385668317 - 212 = 385664221 is a prime.

It is a super-2 number, since 2×3856683172 = 297480101475224978, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (385668377) 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, 192834158 + 192834159.

It is an arithmetic number, because the mean of its divisors is an integer number (192834159).

Almost surely, 2385668317 is an apocalyptic number.

It is an amenable number.

385668317 is a deficient number, since it is larger than the sum of its proper divisors (1).

385668317 is an equidigital number, since it uses as much as digits as its factorization.

385668317 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 725760, while the sum is 47.

The square root of 385668317 is about 19638.4397801862. The cubic root of 385668317 is about 727.8993320983.

The spelling of 385668317 in words is "three hundred eighty-five million, six hundred sixty-eight thousand, three hundred seventeen".