33114240 has 96 divisors (see below), whose sum is σ = 114367500. Its totient is φ = 8828928.

The previous prime is 33114229. The next prime is 33114247. The reversal of 33114240 is 4241133.

It can be written as a sum of positive squares in 2 ways, for example, as 28132416 + 4981824 = 5304^2 + 2232^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (33114247) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2886 + ... + 8634.

Almost surely, 2^33114240 is an apocalyptic number.

33114240 is a gapful number since it is divisible by the number (30) 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 33114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57183750).

33114240 is an abundant number, since it is smaller than the sum of its proper divisors (81253260).

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

33114240 is a wasteful number, since it uses less digits than its factorization.

33114240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5774 (or 5759 counting only the distinct ones).

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

The square root of 33114240 is about 5754.4973716216. The cubic root of 33114240 is about 321.1231367336.

Adding to 33114240 its reverse (4241133), we get a palindrome (37355373).

The spelling of 33114240 in words is "thirty-three million, one hundred fourteen thousand, two hundred forty".