114312240 has 240 divisors, whose sum is σ = 451334208. Its totient is φ = 25380864.

The previous prime is 114312239. The next prime is 114312259. The reversal of 114312240 is 42213411.

114312240 is a `hidden beast` number, since 11 + 431 + 224 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

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, 186174 + ... + 186786.

Almost surely, 2^114312240 is an apocalyptic number.

114312240 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 114312240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225667104).

114312240 is an abundant number, since it is smaller than the sum of its proper divisors (337021968).

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

114312240 is a wasteful number, since it uses less digits than its factorization.

114312240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 114312240 is about 10691.6902312029. The cubic root of 114312240 is about 485.3230426577.

Adding to 114312240 its reverse (42213411), we get a palindrome (156525651).

The spelling of 114312240 in words is "one hundred fourteen million, three hundred twelve thousand, two hundred forty".