314240 has 32 divisors (see below), whose sum is σ = 752760. Its totient is φ = 125440.

The previous prime is 314239. The next prime is 314243. The reversal of 314240 is 42413.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 314240.

It is not an unprimeable number, because it can be changed into a prime (314243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 395 + ... + 885.

2³¹⁴²⁴⁰ 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 314240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376380).

314240 is an abundant number, since it is smaller than the sum of its proper divisors (438520).

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

314240 is an equidigital number, since it uses as much as digits as its factorization.

314240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 314240 is about 560.5711373234. The cubic root of 314240 is about 67.9861563514.

Adding to 314240 its reverse (42413), we get a palindrome (356653).

The spelling of 314240 in words is "three hundred fourteen thousand, two hundred forty", and thus it is an iban number.