340122400 has 144 divisors (see below), whose sum is σ = 892208520. Its totient is φ = 126156800.

The previous prime is 340122379. The next prime is 340122427. The reversal of 340122400 is 4221043.

340122400 is nontrivially palindromic in base 9.

It can be written as a sum of positive squares in 12 ways, for example, as 34152336 + 305970064 = 5844^2 + 17492^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1210260 + ... + 1210540.

Almost surely, 2^340122400 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 340122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446104260).

340122400 is an abundant number, since it is smaller than the sum of its proper divisors (552086120).

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

340122400 is a wasteful number, since it uses less digits than its factorization.

340122400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 340122400 is about 18442.4076519309. The cubic root of 340122400 is about 698.0369490269.

Adding to 340122400 its reverse (4221043), we get a palindrome (344343443).

The spelling of 340122400 in words is "three hundred forty million, one hundred twenty-two thousand, four hundred".