384347313 has 24 divisors (see below), whose sum is σ = 635596416. Its totient is φ = 219240000.

The previous prime is 384347303. The next prime is 384347347. The reversal of 384347313 is 313743483.

It is not a de Polignac number, because 384347313 - 2¹³ = 384339121 is a prime.

It is not an unprimeable number, because it can be changed into a prime (384347303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32788 + ... + 42938.

It is an arithmetic number, because the mean of its divisors is an integer number (26483184).

Almost surely, 2^384347313 is an apocalyptic number.

It is an amenable number.

384347313 is a deficient number, since it is larger than the sum of its proper divisors (251249103).

384347313 is a wasteful number, since it uses less digits than its factorization.

384347313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10765 (or 10762 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 384347313 is about 19604.7778105236. Note that the first 3 decimals coincide. The cubic root of 384347313 is about 727.0673063789.

The spelling of 384347313 in words is "three hundred eighty-four million, three hundred forty-seven thousand, three hundred thirteen".