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3908385 = 3351317131
BaseRepresentation
bin1110111010001100100001
321100120022000
432322030201
52000032020
6215434213
745135465
oct16721441
97316260
103908385
11222a478
121385969
13a6ac70
1473a4a5
15523090
hex3ba321

3908385 has 64 divisors (see below), whose sum is σ = 7983360. Its totient is φ = 1797120.

The previous prime is 3908381. The next prime is 3908393. The reversal of 3908385 is 5838093.

3908385 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3908385 - 22 = 3908381 is a prime.

3908385 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (3908381) 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 63 ways as a sum of consecutive naturals, for example, 29770 + ... + 29900.

It is an arithmetic number, because the mean of its divisors is an integer number (124740).

Almost surely, 23908385 is an apocalyptic number.

It is an amenable number.

3908385 is an abundant number, since it is smaller than the sum of its proper divisors (4074975).

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

3908385 is a wasteful number, since it uses less digits than its factorization.

3908385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 3908385 is about 1976.9635808482. The cubic root of 3908385 is about 157.5188186131.

The spelling of 3908385 in words is "three million, nine hundred eight thousand, three hundred eighty-five".

Divisors: 1 3 5 9 13 15 17 27 39 45 51 65 85 117 131 135 153 195 221 255 351 393 459 585 655 663 765 1105 1179 1703 1755 1965 1989 2227 2295 3315 3537 5109 5895 5967 6681 8515 9945 11135 15327 17685 20043 25545 28951 29835 33405 45981 60129 76635 86853 100215 144755 229905 260559 300645 434265 781677 1302795 3908385