312143040 has 336 divisors, whose sum is σ = 1198229760. Its totient is φ = 73943040.

The previous prime is 312143021. The next prime is 312143047. The reversal of 312143040 is 40341213.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312143047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1869037 + ... + 1869203.

It is an arithmetic number, because the mean of its divisors is an integer number (3566160).

Almost surely, 2^312143040 is an apocalyptic number.

312143040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599114880).

312143040 is an abundant number, since it is smaller than the sum of its proper divisors (886086720).

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

312143040 is a wasteful number, since it uses less digits than its factorization.

312143040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 312143040 is about 17667.5702913559. The cubic root of 312143040 is about 678.3459221015.

Adding to 312143040 its reverse (40341213), we get a palindrome (352484253).

The spelling of 312143040 in words is "three hundred twelve million, one hundred forty-three thousand, forty".