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3689328 = 243101761
BaseRepresentation
bin1110000100101101110000
320221102210210
432010231300
51421024303
6211024120
743234026
oct16045560
96842723
103689328
11209a935
12129b040
139c2346
146c0716
154cd203
hex384b70

3689328 has 40 divisors (see below), whose sum is σ = 9637776. Its totient is φ = 1216000.

The previous prime is 3689327. The next prime is 3689377. The reversal of 3689328 is 8239863.

3689328 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×36893282 = 27222282183168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3689327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4468 + ... + 5228.

Almost surely, 23689328 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 3689328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4818888).

3689328 is an abundant number, since it is smaller than the sum of its proper divisors (5948448).

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

3689328 is a wasteful number, since it uses less digits than its factorization.

3689328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 873 (or 867 counting only the distinct ones).

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

The square root of 3689328 is about 1920.7623486522. The cubic root of 3689328 is about 154.5191899164.

The spelling of 3689328 in words is "three million, six hundred eighty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 101 202 303 404 606 761 808 1212 1522 1616 2283 2424 3044 4566 4848 6088 9132 12176 18264 36528 76861 153722 230583 307444 461166 614888 922332 1229776 1844664 3689328