114343824 has 80 divisors (see below), whose sum is σ = 355374080. Its totient is φ = 30948480.

The previous prime is 114343813. The next prime is 114343847. The reversal of 114343824 is 428343411.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 114343791 and 114343800.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2572 + ... + 15339.

It is an arithmetic number, because the mean of its divisors is an integer number (4442176).

Almost surely, 2^114343824 is an apocalyptic number.

114343824 is a gapful number since it is divisible by the number (14) 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 114343824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177687040).

114343824 is an abundant number, since it is smaller than the sum of its proper divisors (241030256).

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

114343824 is a wasteful number, since it uses less digits than its factorization.

114343824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17948 (or 17942 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 114343824 is about 10693.1671641287. The cubic root of 114343824 is about 485.3677361262.

The spelling of 114343824 in words is "one hundred fourteen million, three hundred forty-three thousand, eight hundred twenty-four".