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3886344 = 2332711701
BaseRepresentation
bin1110110100110100001000
321022110001200
432310310020
51443330334
6215144200
745014310
oct16646410
97273050
103886344
112214960
121375060
13a60c17
14732440
1551b799
hex3b4d08

3886344 has 96 divisors (see below), whose sum is σ = 13141440. Its totient is φ = 1008000.

The previous prime is 3886343. The next prime is 3886357. The reversal of 3886344 is 4436883.

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

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 3886299 and 3886308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3886343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5194 + ... + 5894.

It is an arithmetic number, because the mean of its divisors is an integer number (136890).

Almost surely, 23886344 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 3886344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6570720).

3886344 is an abundant number, since it is smaller than the sum of its proper divisors (9255096).

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

3886344 is a wasteful number, since it uses less digits than its factorization.

3886344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731 (or 724 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 3886344 is about 1971.3812416679. The cubic root of 3886344 is about 157.2221556481. Note that the first 3 decimals are identical.

The spelling of 3886344 in words is "three million, eight hundred eighty-six thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 28 33 36 42 44 56 63 66 72 77 84 88 99 126 132 154 168 198 231 252 264 308 396 462 504 616 693 701 792 924 1386 1402 1848 2103 2772 2804 4206 4907 5544 5608 6309 7711 8412 9814 12618 14721 15422 16824 19628 23133 25236 29442 30844 39256 44163 46266 50472 53977 58884 61688 69399 88326 92532 107954 117768 138798 161931 176652 185064 215908 277596 323862 353304 431816 485793 555192 647724 971586 1295448 1943172 3886344