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3066320 = 24538329
BaseRepresentation
bin1011101100100111010000
312202210012102
423230213100
51241110240
6145415532
735030465
oct13544720
95683172
103066320
111804854
12103a5a8
138348ba
1459b66c
15408815
hex2ec9d0

3066320 has 20 divisors (see below), whose sum is σ = 7129380. Its totient is φ = 1226496.

The previous prime is 3066319. The next prime is 3066347. The reversal of 3066320 is 236603.

It is a happy number.

3066320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1281424 + 1784896 = 1132^2 + 1336^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3066292 and 3066301.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 19085 + ... + 19244.

It is an arithmetic number, because the mean of its divisors is an integer number (356469).

Almost surely, 23066320 is an apocalyptic number.

It is an amenable number.

3066320 is an abundant number, since it is smaller than the sum of its proper divisors (4063060).

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

3066320 is a wasteful number, since it uses less digits than its factorization.

3066320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38342 (or 38336 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

The square root of 3066320 is about 1751.0910884360. The cubic root of 3066320 is about 145.2799980108.

The spelling of 3066320 in words is "three million, sixty-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 38329 76658 153316 191645 306632 383290 613264 766580 1533160 3066320