114393330 has 128 divisors (see below), whose sum is σ = 319334400. Its totient is φ = 29115072.

The previous prime is 114393259. The next prime is 114393337. The reversal of 114393330 is 33393411.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 114393294 and 114393303.

It is not an unprimeable number, because it can be changed into a prime (114393337) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 684907 + ... + 685073.

It is an arithmetic number, because the mean of its divisors is an integer number (2494800).

Almost surely, 2^114393330 is an apocalyptic number.

114393330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114393330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159667200).

114393330 is an abundant number, since it is smaller than the sum of its proper divisors (204941070).

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

114393330 is a wasteful number, since it uses less digits than its factorization.

114393330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 114393330 is about 10695.4817563306. The cubic root of 114393330 is about 485.4377738637.

The spelling of 114393330 in words is "one hundred fourteen million, three hundred ninety-three thousand, three hundred thirty".