313523040 has 96 divisors (see below), whose sum is σ = 990632160. Its totient is φ = 83349504.

The previous prime is 313523033. The next prime is 313523071. The reversal of 313523040 is 40325313.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×313523040² = 196593393221683200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 313522998 and 313523016.

It is a congruent number.

It is an unprimeable number.

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, 195522 + ... + 197118.

It is an arithmetic number, because the mean of its divisors is an integer number (10319085).

Almost surely, 2^313523040 is an apocalyptic number.

313523040 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 313523040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495316080).

313523040 is an abundant number, since it is smaller than the sum of its proper divisors (677109120).

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

313523040 is a wasteful number, since it uses less digits than its factorization.

313523040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2024 (or 2016 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 313523040 is about 17706.5818271060. The cubic root of 313523040 is about 679.3441196055.

Adding to 313523040 its reverse (40325313), we get a palindrome (353848353).

The spelling of 313523040 in words is "three hundred thirteen million, five hundred twenty-three thousand, forty".