313214240 has 96 divisors (see below), whose sum is σ = 784365120. Its totient is φ = 117863424.

The previous prime is 313214233. The next prime is 313214249. The reversal of 313214240 is 42412313.

It is a super-3 number, since 3×313214240³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (313214249) 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 15 ways as a sum of consecutive naturals, for example, 598619 + ... + 599141.

It is an arithmetic number, because the mean of its divisors is an integer number (8170470).

Almost surely, 2^313214240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313214240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392182560).

313214240 is an abundant number, since it is smaller than the sum of its proper divisors (471150880).

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

313214240 is a wasteful number, since it uses less digits than its factorization.

313214240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 313214240 is about 17697.8597576091. The cubic root of 313214240 is about 679.1210096064.

Adding to 313214240 its reverse (42412313), we get a palindrome (355626553).

The spelling of 313214240 in words is "three hundred thirteen million, two hundred fourteen thousand, two hundred forty".