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3865644 = 22354197
BaseRepresentation
bin1110101111110000101100
321021101200000
432233300230
51442200034
6214504300
744600046
oct16576054
97241600
103865644
112200352
121365090
13a54683
14728a96
15515599
hex3afc2c

3865644 has 72 divisors (see below), whose sum is σ = 10487568. Its totient is φ = 1244160.

The previous prime is 3865637. The next prime is 3865663. The reversal of 3865644 is 4465683.

3865644 is a `hidden beast` number, since 3 + 8 + 6 + 5 + 644 = 666.

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 = 3865599 and 3865608.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39804 + ... + 39900.

Almost surely, 23865644 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 3865644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5243784).

3865644 is an abundant number, since it is smaller than the sum of its proper divisors (6621924).

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

3865644 is a wasteful number, since it uses less digits than its factorization.

3865644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 143 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 3865644 is about 1966.1241059506. The cubic root of 3865644 is about 156.9425188847.

The spelling of 3865644 in words is "three million, eight hundred sixty-five thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 81 82 97 108 123 162 164 194 243 246 291 324 369 388 486 492 582 738 873 972 1107 1164 1476 1746 2214 2619 3321 3492 3977 4428 5238 6642 7857 7954 9963 10476 11931 13284 15714 15908 19926 23571 23862 31428 35793 39852 47142 47724 71586 94284 107379 143172 214758 322137 429516 644274 966411 1288548 1932822 3865644