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3386928 = 243411721
BaseRepresentation
bin1100111010111000110000
320101001222210
430322320300
51331340203
6200332120
740534266
oct14727060
96331883
103386928
111a03716
121174040
139177cc
14642436
1546d803
hex33ae30

3386928 has 40 divisors (see below), whose sum is σ = 8968176. Its totient is φ = 1100800.

The previous prime is 3386923. The next prime is 3386941. The reversal of 3386928 is 8296833.

3386928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33869282 = 22942562554368, which contains 22 as substring.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (3386923) by changing a digit.

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, 1108 + ... + 2828.

Almost surely, 23386928 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 3386928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4484088).

3386928 is an abundant number, since it is smaller than the sum of its proper divisors (5581248).

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

3386928 is a wasteful number, since it uses less digits than its factorization.

3386928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1773 (or 1767 counting only the distinct ones).

The product of its digits is 62208, while the sum is 39.

The square root of 3386928 is about 1840.3608341844. The cubic root of 3386928 is about 150.1765033401.

The spelling of 3386928 in words is "three million, three hundred eighty-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 164 246 328 492 656 984 1721 1968 3442 5163 6884 10326 13768 20652 27536 41304 70561 82608 141122 211683 282244 423366 564488 846732 1128976 1693464 3386928