312433240 has 128 divisors (see below), whose sum is σ = 841104000. Its totient is φ = 102187008.

The previous prime is 312433213. The next prime is 312433301. The reversal of 312433240 is 42334213.

It is a happy number.

It is a super-2 number, since 2×312433240² = 195229058913795200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 884904 + ... + 885256.

It is an arithmetic number, because the mean of its divisors is an integer number (6571125).

Almost surely, 2^312433240 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 312433240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420552000).

312433240 is an abundant number, since it is smaller than the sum of its proper divisors (528670760).

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

312433240 is a wasteful number, since it uses less digits than its factorization.

312433240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 312433240 is about 17675.7811708564. The cubic root of 312433240 is about 678.5560768351.

Adding to 312433240 its reverse (42334213), we get a palindrome (354767453).

The spelling of 312433240 in words is "three hundred twelve million, four hundred thirty-three thousand, two hundred forty".