243340416 has 256 divisors, whose sum is σ = 809308800. Its totient is φ = 71331840.

The previous prime is 243340399. The next prime is 243340417. The reversal of 243340416 is 614043342.

243340416 is a `hidden beast` number, since 243 + 3 + 4 + 0 + 416 = 666.

It is a super-3 number, since 3×243340416³ (a number of 26 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 243340416.

It is not an unprimeable number, because it can be changed into a prime (243340417) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1406506 + ... + 1406678.

Almost surely, 2^243340416 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 243340416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404654400).

243340416 is an abundant number, since it is smaller than the sum of its proper divisors (565968384).

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

243340416 is a wasteful number, since it uses less digits than its factorization.

243340416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 243340416 is about 15599.3722950637. The cubic root of 243340416 is about 624.3164075815.

Adding to 243340416 its reverse (614043342), we get a palindrome (857383758).

It can be divided in two parts, 2433 and 40416, that added together give a square (42849 = 207²).

The spelling of 243340416 in words is "two hundred forty-three million, three hundred forty thousand, four hundred sixteen".