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3808944 = 24342939
BaseRepresentation
bin1110100001111010110000
321011111220000
432201322300
51433341234
6213350000
744242536
oct16417260
97144800
103808944
112171797
121338300
13a34919
14712156
15503899
hex3a1eb0

3808944 has 50 divisors (see below), whose sum is σ = 11027940. Its totient is φ = 1269216.

The previous prime is 3808913. The next prime is 3808963. The reversal of 3808944 is 4498083.

3808944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3808899 and 3808908.

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 174 + ... + 2765.

Almost surely, 23808944 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 3808944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5513970).

3808944 is an abundant number, since it is smaller than the sum of its proper divisors (7218996).

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

3808944 is a wasteful number, since it uses less digits than its factorization.

3808944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2959 (or 2944 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 3808944 is about 1951.6516082539. The cubic root of 3808944 is about 156.1714092236.

The spelling of 3808944 in words is "three million, eight hundred eight thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 2939 5878 8817 11756 17634 23512 26451 35268 47024 52902 70536 79353 105804 141072 158706 211608 238059 317412 423216 476118 634824 952236 1269648 1904472 3808944