33840234 has 64 divisors (see below), whose sum is σ = 80455680. Its totient is φ = 10506240.

The previous prime is 33840227. The next prime is 33840239. The reversal of 33840234 is 43204833.

It is a super-2 number, since 2×33840234² = 2290322874349512, which contains 22 as substring.

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 = 33840198 and 33840207.

It is not an unprimeable number, because it can be changed into a prime (33840239) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 175242 + ... + 175434.

It is an arithmetic number, because the mean of its divisors is an integer number (1257120).

Almost surely, 2^33840234 is an apocalyptic number.

33840234 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 33840234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40227840).

33840234 is an abundant number, since it is smaller than the sum of its proper divisors (46615446).

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

33840234 is a wasteful number, since it uses less digits than its factorization.

33840234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 33840234 is about 5817.2359415791. The cubic root of 33840234 is about 323.4529520448.

The spelling of 33840234 in words is "thirty-three million, eight hundred forty thousand, two hundred thirty-four".