313828140 has 48 divisors (see below), whose sum is σ = 909024480. Its totient is φ = 80801280.

The previous prime is 313828133. The next prime is 313828183. The reversal of 313828140 is 41828313.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 313828098 and 313828107.

It is an unprimeable number.

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 in 15 ways as a sum of consecutive naturals, for example, 88441 + ... + 91920.

It is an arithmetic number, because the mean of its divisors is an integer number (18938010).

Almost surely, 2^313828140 is an apocalyptic number.

313828140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313828140 is an abundant number, since it is smaller than the sum of its proper divisors (595196340).

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

313828140 is a wasteful number, since it uses less digits than its factorization.

313828140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180402 (or 180400 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 313828140 is about 17715.1951725066. The cubic root of 313828140 is about 679.5644125002.

The spelling of 313828140 in words is "three hundred thirteen million, eight hundred twenty-eight thousand, one hundred forty".