114334320 has 80 divisors (see below), whose sum is σ = 355691520. Its totient is φ = 30381312.

The previous prime is 114334307. The next prime is 114334349. The reversal of 114334320 is 23433411.

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

It is a congruent number.

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, 85497 + ... + 86823.

It is an arithmetic number, because the mean of its divisors is an integer number (4446144).

Almost surely, 2^114334320 is an apocalyptic number.

114334320 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 114334320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177845760).

114334320 is an abundant number, since it is smaller than the sum of its proper divisors (241357200).

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

114334320 is a wasteful number, since it uses less digits than its factorization.

114334320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1702 (or 1696 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 114334320 is about 10692.7227589609. The cubic root of 114334320 is about 485.3542881975.

Adding to 114334320 its reverse (23433411), we get a palindrome (137767731).

Subtracting from 114334320 its reverse (23433411), we obtain a palindrome (90900909).

It can be divided in two parts, 11433 and 4320, that added together give a triangular number (15753 = T₁₇₇).

The spelling of 114334320 in words is "one hundred fourteen million, three hundred thirty-four thousand, three hundred twenty".