312352040 has 256 divisors, whose sum is σ = 979776000. Its totient is φ = 86446080.

The previous prime is 312352037. The next prime is 312352049. The reversal of 312352040 is 40253213.

312352040 = 2811² + 2812² + ... + 2849².

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (312352049) 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 63 ways as a sum of consecutive naturals, for example, 1161026 + ... + 1161294.

It is an arithmetic number, because the mean of its divisors is an integer number (3827250).

Almost surely, 2^312352040 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 312352040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489888000).

312352040 is an abundant number, since it is smaller than the sum of its proper divisors (667423960).

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

312352040 is a wasteful number, since it uses less digits than its factorization.

312352040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 312352040 is about 17673.4840934095. The cubic root of 312352040 is about 678.4972871798.

The spelling of 312352040 in words is "three hundred twelve million, three hundred fifty-two thousand, forty".