114324840 has 144 divisors (see below), whose sum is σ = 432284580. Its totient is φ = 26127360.

The previous prime is 114324823. The next prime is 114324841. The reversal of 114324840 is 48423411.

It can be written as a sum of positive squares in 2 ways, for example, as 109369764 + 4955076 = 10458^2 + 2226^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114324841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14400 + ... + 20880.

Almost surely, 2^114324840 is an apocalyptic number.

114324840 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 114324840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216142290).

114324840 is an abundant number, since it is smaller than the sum of its proper divisors (317959740).

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

114324840 is a wasteful number, since it uses less digits than its factorization.

114324840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6512 (or 6498 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 114324840 is about 10692.2794576274. The cubic root of 114324840 is about 485.3408734857.

The spelling of 114324840 in words is "one hundred fourteen million, three hundred twenty-four thousand, eight hundred forty".