243084416 has 32 divisors (see below), whose sum is σ = 486443100. Its totient is φ = 120996864.

The previous prime is 243084403. The next prime is 243084421. The reversal of 243084416 is 614480342.

It can be written as a sum of positive squares in 2 ways, for example, as 240126016 + 2958400 = 15496^2 + 1720^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×243084416² = 118180066604122112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 25166 + ... + 33458.

Almost surely, 2^243084416 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 243084416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243221550).

243084416 is an abundant number, since it is smaller than the sum of its proper divisors (243358684).

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

243084416 is an equidigital number, since it uses as much as digits as its factorization.

243084416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8536 (or 8524 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 243084416 is about 15591.1646774704. The cubic root of 243084416 is about 624.0973987785.

The spelling of 243084416 in words is "two hundred forty-three million, eighty-four thousand, four hundred sixteen".