114323040 has 288 divisors, whose sum is σ = 435891456. Its totient is φ = 27095040.

The previous prime is 114323003. The next prime is 114323059. The reversal of 114323040 is 40323411.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 580222 + ... + 580418.

It is an arithmetic number, because the mean of its divisors is an integer number (1513512).

Almost surely, 2^114323040 is an apocalyptic number.

114323040 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 114323040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217945728).

114323040 is an abundant number, since it is smaller than the sum of its proper divisors (321568416).

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

114323040 is a wasteful number, since it uses less digits than its factorization.

114323040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 114323040 is about 10692.1952844119. The cubic root of 114323040 is about 485.3383263048.

Adding to 114323040 its reverse (40323411), we get a palindrome (154646451).

The spelling of 114323040 in words is "one hundred fourteen million, three hundred twenty-three thousand, forty".