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3836385 = 325719641
BaseRepresentation
bin1110101000100111100001
321012220112100
432220213201
51440231020
6214121013
744415540
oct16504741
97186470
103836385
112190373
121350169
13a44267
1471c157
1550ba90
hex3a89e1

3836385 has 48 divisors (see below), whose sum is σ = 8012160. Its totient is φ = 1658880.

The previous prime is 3836383. The next prime is 3836387. The reversal of 3836385 is 5836383.

3836385 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3836383) and next prime (3836387).

It is not a de Polignac number, because 3836385 - 21 = 3836383 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (3836383) 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 47 ways as a sum of consecutive naturals, for example, 5665 + ... + 6305.

It is an arithmetic number, because the mean of its divisors is an integer number (166920).

Almost surely, 23836385 is an apocalyptic number.

3836385 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3836385 is an abundant number, since it is smaller than the sum of its proper divisors (4175775).

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

3836385 is a wasteful number, since it uses less digits than its factorization.

3836385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 675 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 3836385 is about 1958.6691910581. The cubic root of 3836385 is about 156.5455504737.

The spelling of 3836385 in words is "three million, eight hundred thirty-six thousand, three hundred eighty-five".

Divisors: 1 3 5 7 9 15 19 21 35 45 57 63 95 105 133 171 285 315 399 641 665 855 1197 1923 1995 3205 4487 5769 5985 9615 12179 13461 22435 28845 36537 40383 60895 67305 85253 109611 182685 201915 255759 426265 548055 767277 1278795 3836385