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3812382 = 232779383
BaseRepresentation
bin1110100010110000011110
321011200121100
432202300132
51433444012
6213413530
744255550
oct16426036
97150540
103812382
112174332
12133a2a6
13a36362
147134d0
155048dc
hex3a2c1e

3812382 has 48 divisors (see below), whose sum is σ = 9584640. Its totient is φ = 1072656.

The previous prime is 3812381. The next prime is 3812383. The reversal of 3812382 is 2832183.

3812382 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 (3812381) and next prime (3812383).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3812381) 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 23 ways as a sum of consecutive naturals, for example, 9763 + ... + 10145.

It is an arithmetic number, because the mean of its divisors is an integer number (199680).

Almost surely, 23812382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3812382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4792320).

3812382 is an abundant number, since it is smaller than the sum of its proper divisors (5772258).

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

3812382 is a wasteful number, since it uses less digits than its factorization.

3812382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 474 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 3812382 is about 1952.5322020392. The cubic root of 3812382 is about 156.2183825092.

The spelling of 3812382 in words is "three million, eight hundred twelve thousand, three hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 79 126 158 237 383 474 553 711 766 1106 1149 1422 1659 2298 2681 3318 3447 4977 5362 6894 8043 9954 16086 24129 30257 48258 60514 90771 181542 211799 272313 423598 544626 635397 1270794 1906191 3812382