314040 has 32 divisors (see below), whose sum is σ = 942480. Its totient is φ = 83712.

The previous prime is 314021. The next prime is 314059. The reversal of 314040 is 40413.

314040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (314021) and next prime (314059).

It is a super-2 number, since 2×314040² = 197242243200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 314040.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1189 + ... + 1428.

2³¹⁴⁰⁴⁰ is an apocalyptic number.

314040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

314040 is an abundant number, since it is smaller than the sum of its proper divisors (628440).

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

314040 is a wasteful number, since it uses less digits than its factorization.

314040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2631 (or 2627 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 314040 is about 560.3927194388. The cubic root of 314040 is about 67.9717298865.

Subtracting from 314040 its sum of digits (12), we obtain a triangular number (314028 = T₇₉₂).

Adding to 314040 its reverse (40413), we get a palindrome (354453).

The spelling of 314040 in words is "three hundred fourteen thousand, forty", and thus it is an iban number.