313432020 has 144 divisors (see below), whose sum is σ = 1042554240. Its totient is φ = 75590400.

The previous prime is 313432019. The next prime is 313432039. The reversal of 313432020 is 20234313.

It is a super-2 number, since 2×313432020² = 196479262322560800, which contains 22 as substring.

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 = 313431984 and 313432002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 615526 + ... + 616034.

It is an arithmetic number, because the mean of its divisors is an integer number (7239960).

Almost surely, 2^313432020 is an apocalyptic number.

313432020 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 313432020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521277120).

313432020 is an abundant number, since it is smaller than the sum of its proper divisors (729122220).

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

313432020 is a wasteful number, since it uses less digits than its factorization.

313432020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846 (or 841 counting only the distinct ones).

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

The square root of 313432020 is about 17704.0114098472. The cubic root of 313432020 is about 679.2783722988.

Adding to 313432020 its reverse (20234313), we get a palindrome (333666333).

The spelling of 313432020 in words is "three hundred thirteen million, four hundred thirty-two thousand, twenty".