114344000 has 56 divisors (see below), whose sum is σ = 283192728. Its totient is φ = 45734400.

The previous prime is 114343987. The next prime is 114344003. The reversal of 114344000 is 443411.

It can be written as a sum of positive squares in 4 ways, for example, as 33918976 + 80425024 = 5824^2 + 8968^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 114344000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114344003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 854 + ... + 15146.

It is an arithmetic number, because the mean of its divisors is an integer number (5057013).

Almost surely, 2^114344000 is an apocalyptic number.

114344000 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 114344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141596364).

114344000 is an abundant number, since it is smaller than the sum of its proper divisors (168848728).

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

114344000 is an equidigital number, since it uses as much as digits as its factorization.

114344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14320 (or 14300 counting only the distinct ones).

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

The square root of 114344000 is about 10693.1753936798. The cubic root of 114344000 is about 485.3679851548.

Adding to 114344000 its reverse (443411), we get a palindrome (114787411).

The spelling of 114344000 in words is "one hundred fourteen million, three hundred forty-four thousand".