314312240 has 80 divisors (see below), whose sum is σ = 800948736. Its totient is φ = 113760000.

The previous prime is 314312239. The next prime is 314312249. The reversal of 314312240 is 42213413.

It is a tau number, because it is divible by the number of its divisors (80).

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 (314312249) 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, 220169 + ... + 221591.

Almost surely, 2^314312240 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 314312240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400474368).

314312240 is an abundant number, since it is smaller than the sum of its proper divisors (486636496).

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

314312240 is a wasteful number, since it uses less digits than its factorization.

314312240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1698 (or 1692 counting only the distinct ones).

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

The square root of 314312240 is about 17728.8533188134. The cubic root of 314312240 is about 679.9136568571.

Adding to 314312240 its reverse (42213413), we get a palindrome (356525653).

The spelling of 314312240 in words is "three hundred fourteen million, three hundred twelve thousand, two hundred forty".