313140672 has 336 divisors, whose sum is σ = 1065093120. Its totient is φ = 87091200.

The previous prime is 313140661. The next prime is 313140673. The reversal of 313140672 is 276041313.

It is a super-3 number, since 3×313140672³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313140673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4410397 + ... + 4410467.

It is an arithmetic number, because the mean of its divisors is an integer number (3169920).

Almost surely, 2^313140672 is an apocalyptic number.

313140672 is a gapful number since it is divisible by the number (32) 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 313140672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532546560).

313140672 is an abundant number, since it is smaller than the sum of its proper divisors (751952448).

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

313140672 is a wasteful number, since it uses less digits than its factorization.

313140672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 313140672 is about 17695.7811921373. The cubic root of 313140672 is about 679.0678346223.

Adding to 313140672 its reverse (276041313), we get a palindrome (589181985).

The spelling of 313140672 in words is "three hundred thirteen million, one hundred forty thousand, six hundred seventy-two".