312040 has 32 divisors (see below), whose sum is σ = 729000. Its totient is φ = 120064.

The previous prime is 312031. The next prime is 312043. The reversal of 312040 is 40213.

It can be written as a sum of positive squares in 4 ways, for example, as 178084 + 133956 = 422^2 + 366^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (312043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1026 + ... + 1294.

2³¹²⁰⁴⁰ 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 312040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364500).

312040 is an abundant number, since it is smaller than the sum of its proper divisors (416960).

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

312040 is a wasteful number, since it uses less digits than its factorization.

312040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 312040 is about 558.6054063469. The cubic root of 312040 is about 67.8271272077.

Adding to 312040 its reverse (40213), we get a palindrome (352253).

It can be divided in two parts, 3120 and 40, that added together give a triangular number (3160 = T₇₉).

The spelling of 312040 in words is "three hundred twelve thousand, forty", and thus it is an iban number.