Search a number
-
+
33146244 = 2232920729
BaseRepresentation
bin111111001110…
…0010110000100
32022101000002200
41332130112010
531441134434
63142234500
7551511165
oct176342604
968330080
1033146244
111778a29a
12b125a30
136b37081
14458b76c
152d9b199
hex1f9c584

33146244 has 18 divisors (see below), whose sum is σ = 83786430. Its totient is φ = 11048736.

The previous prime is 33146231. The next prime is 33146251. The reversal of 33146244 is 44264133.

33146244 is a `hidden beast` number, since 3 + 31 + 4 + 624 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 16646400 + 16499844 = 4080^2 + 4062^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a nude number because it is divisible by every one of its digits.

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 5 ways as a sum of consecutive naturals, for example, 460329 + ... + 460400.

Almost surely, 233146244 is an apocalyptic number.

It is an amenable number.

33146244 is an abundant number, since it is smaller than the sum of its proper divisors (50640186).

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

33146244 is a wasteful number, since it uses less digits than its factorization.

33146244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920739 (or 920734 counting only the distinct ones).

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

The square root of 33146244 is about 5757.2774815880. The cubic root of 33146244 is about 321.2265556430.

The spelling of 33146244 in words is "thirty-three million, one hundred forty-six thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 920729 1841458 2762187 3682916 5524374 8286561 11048748 16573122 33146244