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385738393 is a prime number
BaseRepresentation
bin10110111111011…
…110011010011001
3222212211112121011
4112333132122121
51242222112033
6102135413521
712362502505
oct2677363231
9885745534
10385738393
11188814a67
12a92242a1
1361bba091
1439331305
1523ce7ccd
hex16fde699

385738393 has 2 divisors, whose sum is σ = 385738394. Its totient is φ = 385738392.

The previous prime is 385738391. The next prime is 385738417. The reversal of 385738393 is 393837583.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 358988809 + 26749584 = 18947^2 + 5172^2 .

It is a cyclic number.

It is not a de Polignac number, because 385738393 - 21 = 385738391 is a prime.

Together with 385738391, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (385738391) 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, 192869196 + 192869197.

It is an arithmetic number, because the mean of its divisors is an integer number (192869197).

Almost surely, 2385738393 is an apocalyptic number.

It is an amenable number.

385738393 is a deficient number, since it is larger than the sum of its proper divisors (1).

385738393 is an equidigital number, since it uses as much as digits as its factorization.

385738393 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1632960, while the sum is 49.

The square root of 385738393 is about 19640.2238531031. The cubic root of 385738393 is about 727.9434159066.

The spelling of 385738393 in words is "three hundred eighty-five million, seven hundred thirty-eight thousand, three hundred ninety-three".