312040300 has 72 divisors (see below), whose sum is σ = 795542832. Its totient is φ = 104736000.

The previous prime is 312040291. The next prime is 312040307. The reversal of 312040300 is 3040213.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (312040307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3390 + ... + 25210.

It is an arithmetic number, because the mean of its divisors is an integer number (11049206).

Almost surely, 2^312040300 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 312040300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397771416).

312040300 is an abundant number, since it is smaller than the sum of its proper divisors (483502532).

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

312040300 is a wasteful number, since it uses less digits than its factorization.

312040300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21859 (or 21852 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 312040300 is about 17664.6624649326. The cubic root of 312040300 is about 678.2714894441.

Adding to 312040300 its reverse (3040213), we get a palindrome (315080513).

The spelling of 312040300 in words is "three hundred twelve million, forty thousand, three hundred".