33342480 has 60 divisors (see below), whose sum is σ = 111977580. Its totient is φ = 8891136.

The previous prime is 33342383. The next prime is 33342481. The reversal of 33342480 is 8424333.

It can be written as a sum of positive squares in 2 ways, for example, as 20034576 + 13307904 = 4476^2 + 3648^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×33342480² = 2223441945100800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33342481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22435 + ... + 23874.

It is an arithmetic number, because the mean of its divisors is an integer number (1866293).

Almost surely, 2^33342480 is an apocalyptic number.

33342480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33342480 is an abundant number, since it is smaller than the sum of its proper divisors (78635100).

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

33342480 is a wasteful number, since it uses less digits than its factorization.

33342480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46328 (or 46319 counting only the distinct ones).

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

The square root of 33342480 is about 5774.2947621333. The cubic root of 33342480 is about 321.8592288750.

The spelling of 33342480 in words is "thirty-three million, three hundred forty-two thousand, four hundred eighty".