33400000 has 84 divisors (see below), whose sum is σ = 83338416. Its totient is φ = 13280000.

The previous prime is 33399991. The next prime is 33400021. The reversal of 33400000 is 433.

It is a super-2 number, since 2×33400000² = 2231120000000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 33400000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 199917 + ... + 200083.

It is an arithmetic number, because the mean of its divisors is an integer number (992124).

Almost surely, 2^33400000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41669208).

33400000 is an abundant number, since it is smaller than the sum of its proper divisors (49938416).

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

33400000 is an frugal number, since it uses more digits than its factorization.

33400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 10.

The square root of 33400000 is about 5779.2733107200. The cubic root of 33400000 is about 322.0442051884.

Adding to 33400000 its reverse (433), we get a palindrome (33400433).

The spelling of 33400000 in words is "thirty-three million, four hundred thousand".