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33045680 = 245413071
BaseRepresentation
bin111111000001…
…1110010110000
32022011220011002
41332003302300
531424430210
63140141132
7550612043
oct176036260
968156132
1033045680
1117720788
12b0977a8
136b00375
144562c5a
152d7b4a5
hex1f83cb0

33045680 has 20 divisors (see below), whose sum is σ = 76831392. Its totient is φ = 13218240.

The previous prime is 33045647. The next prime is 33045697. The reversal of 33045680 is 8654033.

It is a tau number, because it is divible by the number of its divisors (20).

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

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, 206456 + ... + 206615.

Almost surely, 233045680 is an apocalyptic number.

It is an amenable number.

33045680 is an abundant number, since it is smaller than the sum of its proper divisors (43785712).

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

33045680 is a wasteful number, since it uses less digits than its factorization.

33045680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413084 (or 413078 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 33045680 is about 5748.5372052375. The cubic root of 33045680 is about 320.9013649326.

The spelling of 33045680 in words is "thirty-three million, forty-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 413071 826142 1652284 2065355 3304568 4130710 6609136 8261420 16522840 33045680