243993312 has 72 divisors (see below), whose sum is σ = 716264640. Its totient is φ = 78704640.

The previous prime is 243993287. The next prime is 243993313. The reversal of 243993312 is 213399342.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243993313) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4737 + ... + 22592.

It is an arithmetic number, because the mean of its divisors is an integer number (9948120).

Almost surely, 2^243993312 is an apocalyptic number.

It is an amenable number.

243993312 is an abundant number, since it is smaller than the sum of its proper divisors (472271328).

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

243993312 is a wasteful number, since it uses less digits than its factorization.

243993312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27376 (or 27365 counting only the distinct ones).

The product of its digits is 34992, while the sum is 36.

The square root of 243993312 is about 15620.2852726831. The cubic root of 243993312 is about 624.8742676146.

The spelling of 243993312 in words is "two hundred forty-three million, nine hundred ninety-three thousand, three hundred twelve".