313982384 has 80 divisors (see below), whose sum is σ = 694241280. Its totient is φ = 136688640.

The previous prime is 313982381. The next prime is 313982393. The reversal of 313982384 is 483289313.

It is not an unprimeable number, because it can be changed into a prime (313982381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193127 + ... + 194745.

It is an arithmetic number, because the mean of its divisors is an integer number (8678016).

Almost surely, 2^313982384 is an apocalyptic number.

313982384 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313982384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347120640).

313982384 is an abundant number, since it is smaller than the sum of its proper divisors (380258896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

313982384 is a wasteful number, since it uses less digits than its factorization.

313982384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1698 (or 1692 counting only the distinct ones).

The product of its digits is 124416, while the sum is 41.

The square root of 313982384 is about 17719.5480755012. The cubic root of 313982384 is about 679.6757277415.

The spelling of 313982384 in words is "three hundred thirteen million, nine hundred eighty-two thousand, three hundred eighty-four".