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3306920 = 235471759
BaseRepresentation
bin1100100111010110101000
320020000020112
430213112220
51321310140
6154513452
740052111
oct14472650
96200215
103306920
1119595a1
121135888
138ba276
14621208
15454c65
hex3275a8

3306920 has 32 divisors (see below), whose sum is σ = 7603200. Its totient is φ = 1293888.

The previous prime is 3306913. The next prime is 3306943. The reversal of 3306920 is 296033.

It is a happy number.

3306920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a plaindrome in base 12.

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 7 ways as a sum of consecutive naturals, for example, 1001 + ... + 2759.

It is an arithmetic number, because the mean of its divisors is an integer number (237600).

Almost surely, 23306920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3306920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3801600).

3306920 is an abundant number, since it is smaller than the sum of its proper divisors (4296280).

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

3306920 is a wasteful number, since it uses less digits than its factorization.

3306920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1817 (or 1813 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 23.

The square root of 3306920 is about 1818.4938823103. The cubic root of 3306920 is about 148.9845486432.

The spelling of 3306920 in words is "three million, three hundred six thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 47 94 188 235 376 470 940 1759 1880 3518 7036 8795 14072 17590 35180 70360 82673 165346 330692 413365 661384 826730 1653460 3306920