340433200 has 60 divisors (see below), whose sum is σ = 820547928. Its totient is φ = 135731200.

The previous prime is 340433167. The next prime is 340433207. The reversal of 340433200 is 2334043.

340433200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (340433207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 139995 + ... + 142405.

Almost surely, 2^340433200 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 340433200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410273964).

340433200 is an abundant number, since it is smaller than the sum of its proper divisors (480114728).

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

340433200 is a wasteful number, since it uses less digits than its factorization.

340433200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2782 (or 2771 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 19.

The square root of 340433200 is about 18450.8319595621. The cubic root of 340433200 is about 698.2495037182.

Adding to 340433200 its reverse (2334043), we get a palindrome (342767243).

The spelling of 340433200 in words is "three hundred forty million, four hundred thirty-three thousand, two hundred".