340242400 has 72 divisors (see below), whose sum is σ = 848383200. Its totient is φ = 133186560.

The previous prime is 340242373. The next prime is 340242401. The reversal of 340242400 is 4242043.

340242400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340242401) 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, 33076 + ... + 42124.

It is an arithmetic number, because the mean of its divisors is an integer number (11783100).

Almost surely, 2^340242400 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 340242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424191600).

340242400 is an abundant number, since it is smaller than the sum of its proper divisors (508140800).

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

340242400 is a wasteful number, since it uses less digits than its factorization.

340242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9116 (or 9103 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 340242400 is about 18445.6607363358. The cubic root of 340242400 is about 698.1190318151.

Adding to 340242400 its reverse (4242043), we get a palindrome (344484443).

The spelling of 340242400 in words is "three hundred forty million, two hundred forty-two thousand, four hundred".