114284240 has 160 divisors (see below), whose sum is σ = 334264320. Its totient is φ = 35430912.

The previous prime is 114284237. The next prime is 114284257. The reversal of 114284240 is 42482411.

114284240 = T₂₁₄ + T₂₁₅ + ... + T₈₈₅.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 244487 + ... + 244953.

It is an arithmetic number, because the mean of its divisors is an integer number (2089152).

Almost surely, 2^114284240 is an apocalyptic number.

114284240 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 114284240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167132160).

114284240 is an abundant number, since it is smaller than the sum of its proper divisors (219980080).

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

114284240 is a wasteful number, since it uses less digits than its factorization.

114284240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

The square root of 114284240 is about 10690.3807228742. The cubic root of 114284240 is about 485.2834139039.

The spelling of 114284240 in words is "one hundred fourteen million, two hundred eighty-four thousand, two hundred forty".