312433420 has 48 divisors (see below), whose sum is σ = 708281280. Its totient is φ = 115082496.

The previous prime is 312433369. The next prime is 312433421. The reversal of 312433420 is 24334213.

It is a happy number.

It is a super-2 number, since 2×312433420² = 195229283865792800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 312433391 and 312433400.

It is not an unprimeable number, because it can be changed into a prime (312433421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129586 + ... + 131974.

It is an arithmetic number, because the mean of its divisors is an integer number (14755860).

Almost surely, 2^312433420 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 312433420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354140640).

312433420 is an abundant number, since it is smaller than the sum of its proper divisors (395847860).

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

312433420 is a wasteful number, since it uses less digits than its factorization.

312433420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2914 (or 2912 counting only the distinct ones).

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

The square root of 312433420 is about 17675.7862625684. The cubic root of 312433420 is about 678.5562071457.

Adding to 312433420 its reverse (24334213), we get a palindrome (336767633).

The spelling of 312433420 in words is "three hundred twelve million, four hundred thirty-three thousand, four hundred twenty".