114340400 has 60 divisors (see below), whose sum is σ = 283594944. Its totient is φ = 44256000.

The previous prime is 114340381. The next prime is 114340433. The reversal of 114340400 is 4043411.

It is an unprimeable number.

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, 7790 + ... + 17010.

Almost surely, 2^114340400 is an apocalyptic number.

114340400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114340400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141797472).

114340400 is an abundant number, since it is smaller than the sum of its proper divisors (169254544).

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

114340400 is a wasteful number, since it uses less digits than its factorization.

114340400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9270 (or 9259 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 114340400 is about 10693.0070606916. The cubic root of 114340400 is about 485.3628913354.

Adding to 114340400 its reverse (4043411), we get a palindrome (118383811).

The spelling of 114340400 in words is "one hundred fourteen million, three hundred forty thousand, four hundred".