Search a number
-
+
33084640 = 255206779
BaseRepresentation
bin111111000110…
…1010011100000
32022020212121001
41332031103200
531432202030
63141041344
7551133451
oct176152340
968225531
1033084640
1117747a86
12b0b6254
136b15014
144573128
152d87cca
hex1f8d4e0

33084640 has 24 divisors (see below), whose sum is σ = 78162840. Its totient is φ = 13233792.

The previous prime is 33084637. The next prime is 33084691. The reversal of 33084640 is 4648033.

It is a junction number, because it is equal to n+sod(n) for n = 33084599 and 33084608.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 103230 + ... + 103549.

It is an arithmetic number, because the mean of its divisors is an integer number (3256785).

Almost surely, 233084640 is an apocalyptic number.

It is an amenable number.

33084640 is an abundant number, since it is smaller than the sum of its proper divisors (45078200).

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

33084640 is a wasteful number, since it uses less digits than its factorization.

33084640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206794 (or 206786 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 33084640 is about 5751.9248951981. The cubic root of 33084640 is about 321.0274268676.

The spelling of 33084640 in words is "thirty-three million, eighty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 206779 413558 827116 1033895 1654232 2067790 3308464 4135580 6616928 8271160 16542320 33084640