114340000 has 60 divisors (see below), whose sum is σ = 281342754. Its totient is φ = 45728000.

The previous prime is 114339961. The next prime is 114340007. The reversal of 114340000 is 43411.

It can be written as a sum of positive squares in 5 ways, for example, as 2572816 + 111767184 = 1604^2 + 10572^2 .

It is not an unprimeable number, because it can be changed into a prime (114340007) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 17142 + ... + 22858.

Almost surely, 2^114340000 is an apocalyptic number.

114340000 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 114340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140671377).

114340000 is an abundant number, since it is smaller than the sum of its proper divisors (167002754).

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

114340000 is an frugal number, since it uses more digits than its factorization.

114340000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5747 (or 5724 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 114340000 is about 10692.9883568626. The cubic root of 114340000 is about 485.3623253488.

Adding to 114340000 its reverse (43411), we get a palindrome (114383411).

The spelling of 114340000 in words is "one hundred fourteen million, three hundred forty thousand".