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385013393 is a prime number
BaseRepresentation
bin10110111100101…
…101011010010001
3222211110201002022
4112330231122101
51242030412033
6102112101225
712353363012
oct2674553221
9884421068
10385013393
1118836a296
12a8b34815
13619c509b
14391c3009
1523c03098
hex16f2d691

385013393 has 2 divisors, whose sum is σ = 385013394. Its totient is φ = 385013392.

The previous prime is 385013383. The next prime is 385013417. The reversal of 385013393 is 393310583.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 265592209 + 119421184 = 16297^2 + 10928^2 .

It is a cyclic number.

It is not a de Polignac number, because 385013393 - 212 = 385009297 is a prime.

It is equal to p20579129 and since 385013393 and 20579129 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 (385013303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 192506696 + 192506697.

It is an arithmetic number, because the mean of its divisors is an integer number (192506697).

Almost surely, 2385013393 is an apocalyptic number.

It is an amenable number.

385013393 is a deficient number, since it is larger than the sum of its proper divisors (1).

385013393 is an equidigital number, since it uses as much as digits as its factorization.

385013393 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 29160, while the sum is 35.

The square root of 385013393 is about 19621.7581526223. The cubic root of 385013393 is about 727.4870703842.

The spelling of 385013393 in words is "three hundred eighty-five million, thirteen thousand, three hundred ninety-three".