313034220 has 120 divisors (see below), whose sum is σ = 995828064. Its totient is φ = 82301184.

The previous prime is 313034219. The next prime is 313034231. The reversal of 313034220 is 22430313.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 313034193 and 313034202.

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 39 ways as a sum of consecutive naturals, for example, 116937 + ... + 119583.

Almost surely, 2^313034220 is an apocalyptic number.

313034220 is a gapful number since it is divisible by the number (30) 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 313034220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497914032).

313034220 is an abundant number, since it is smaller than the sum of its proper divisors (682793844).

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

313034220 is a wasteful number, since it uses less digits than its factorization.

313034220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2741 (or 2730 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 313034220 is about 17692.7731009020. The cubic root of 313034220 is about 678.9908763215.

Adding to 313034220 its reverse (22430313), we get a palindrome (335464533).

The spelling of 313034220 in words is "three hundred thirteen million, thirty-four thousand, two hundred twenty".