313223040 has 384 divisors, whose sum is σ = 1202947200. Its totient is φ = 74612736.

The previous prime is 313222967. The next prime is 313223041. The reversal of 313223040 is 40322313.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313223041) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3519316 + ... + 3519404.

It is an arithmetic number, because the mean of its divisors is an integer number (3132675).

Almost surely, 2^313223040 is an apocalyptic number.

313223040 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 313223040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601473600).

313223040 is an abundant number, since it is smaller than the sum of its proper divisors (889724160).

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

313223040 is a wasteful number, since it uses less digits than its factorization.

313223040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 159 counting only the distinct ones).

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

The square root of 313223040 is about 17698.1083734957. The cubic root of 313223040 is about 679.1273696928.

Adding to 313223040 its reverse (40322313), we get a palindrome (353545353).

The spelling of 313223040 in words is "three hundred thirteen million, two hundred twenty-three thousand, forty".