340422400 has 108 divisors (see below), whose sum is σ = 862890952. Its totient is φ = 132894720.

The previous prime is 340422367. The next prime is 340422409. The reversal of 340422400 is 4224043.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340422409) 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, 274582 + ... + 275818.

Almost surely, 2^340422400 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 340422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431445476).

340422400 is an abundant number, since it is smaller than the sum of its proper divisors (522468552).

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

340422400 is a wasteful number, since it uses less digits than its factorization.

340422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1306 (or 1287 counting only the distinct ones).

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

The square root of 340422400 is about 18450.5392875114. The cubic root of 340422400 is about 698.2421198179.

Adding to 340422400 its reverse (4224043), we get a palindrome (344646443).

It can be divided in two parts, 340 and 422400, that added together give a triangular number (422740 = T₉₁₉).

The spelling of 340422400 in words is "three hundred forty million, four hundred twenty-two thousand, four hundred".