313212240 has 240 divisors, whose sum is σ = 1165746816. Its totient is φ = 74726400.

The previous prime is 313212227. The next prime is 313212241. The reversal of 313212240 is 42212313.

It is a tau number, because it is divible by the number of its divisors (240).

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 (313212241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 562042 + ... + 562598.

Almost surely, 2^313212240 is an apocalyptic number.

313212240 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 313212240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582873408).

313212240 is an abundant number, since it is smaller than the sum of its proper divisors (852534576).

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

313212240 is a wasteful number, since it uses less digits than its factorization.

313212240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 313212240 is about 17697.8032535114. The cubic root of 313212240 is about 679.1195641156.

Adding to 313212240 its reverse (42212313), we get a palindrome (355424553).

The spelling of 313212240 in words is "three hundred thirteen million, two hundred twelve thousand, two hundred forty".