114030320 has 80 divisors (see below), whose sum is σ = 286320960. Its totient is φ = 42104832.

The previous prime is 114030311. The next prime is 114030341. The reversal of 114030320 is 23030411.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 114030295 and 114030304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52292 + ... + 54428.

It is an arithmetic number, because the mean of its divisors is an integer number (3579012).

Almost surely, 2^114030320 is an apocalyptic number.

114030320 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 114030320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143160480).

114030320 is an abundant number, since it is smaller than the sum of its proper divisors (172290640).

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

114030320 is a wasteful number, since it uses less digits than its factorization.

114030320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2202 (or 2196 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 114030320 is about 10678.4980217257. The cubic root of 114030320 is about 484.9237418630.

Adding to 114030320 its reverse (23030411), we get a palindrome (137060731).

Subtracting from 114030320 its reverse (23030411), we obtain a palindrome (90999909).

The spelling of 114030320 in words is "one hundred fourteen million, thirty thousand, three hundred twenty".