312040000 has 140 divisors (see below), whose sum is σ = 803414700. Its totient is φ = 120064000.

The previous prime is 312039997. The next prime is 312040007. The reversal of 312040000 is 40213.

It can be written as a sum of positive squares in 10 ways, for example, as 292820544 + 19219456 = 17112^2 + 4384^2 .

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 (312040007) 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 19 ways as a sum of consecutive naturals, for example, 1159866 + ... + 1160134.

Almost surely, 2^312040000 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 312040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401707350).

312040000 is an abundant number, since it is smaller than the sum of its proper divisors (491374700).

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

312040000 is an equidigital number, since it uses as much as digits as its factorization.

312040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 305 counting only the distinct ones).

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

The square root of 312040000 is about 17664.6539734012. The cubic root of 312040000 is about 678.2712720774.

Adding to 312040000 its reverse (40213), we get a palindrome (312080213).

The spelling of 312040000 in words is "three hundred twelve million, forty thousand".