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385360321 is a prime number
BaseRepresentation
bin10110111110000…
…010000111000001
3222212010022222111
4112332002013001
51242123012241
6102123335321
712356336323
oct2676020701
9885108874
10385360321
11188586a05
12a9081541
1361ab6c78
1439273613
1523c70c81
hex16f821c1

385360321 has 2 divisors, whose sum is σ = 385360322. Its totient is φ = 385360320.

The previous prime is 385360319. The next prime is 385360343. The reversal of 385360321 is 123063583.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 242892225 + 142468096 = 15585^2 + 11936^2 .

It is a cyclic number.

It is not a de Polignac number, because 385360321 - 21 = 385360319 is a prime.

Together with 385360319, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (385360351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 192680160 + 192680161.

It is an arithmetic number, because the mean of its divisors is an integer number (192680161).

Almost surely, 2385360321 is an apocalyptic number.

It is an amenable number.

385360321 is a deficient number, since it is larger than the sum of its proper divisors (1).

385360321 is an equidigital number, since it uses as much as digits as its factorization.

385360321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 385360321 is about 19630.5965523211. The cubic root of 385360321 is about 727.7055128855.

The spelling of 385360321 in words is "three hundred eighty-five million, three hundred sixty thousand, three hundred twenty-one".