312054336 has 112 divisors (see below), whose sum is σ = 1000841280. Its totient is φ = 94556160.

The previous prime is 312054331. The next prime is 312054361. The reversal of 312054336 is 633450213.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312054331) 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, 10800 + ... + 27216.

Almost surely, 2^312054336 is an apocalyptic number.

312054336 is a gapful number since it is divisible by the number (36) 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 312054336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500420640).

312054336 is an abundant number, since it is smaller than the sum of its proper divisors (688786944).

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

312054336 is a wasteful number, since it uses less digits than its factorization.

312054336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16449 (or 16433 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 312054336 is about 17665.0597508188. The cubic root of 312054336 is about 678.2816591518.

The spelling of 312054336 in words is "three hundred twelve million, fifty-four thousand, three hundred thirty-six".