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3886336 = 28171947
BaseRepresentation
bin1110110100110100000000
321022110001101
432310310000
51443330321
6215144144
745014266
oct16646400
97273041
103886336
112214953
121375054
13a60c0c
14732436
1551b791
hex3b4d00

3886336 has 72 divisors (see below), whose sum is σ = 8830080. Its totient is φ = 1695744.

The previous prime is 3886321. The next prime is 3886339. The reversal of 3886336 is 6336883.

It is a junction number, because it is equal to n+sod(n) for n = 3886295 and 3886304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3886339) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82665 + ... + 82711.

It is an arithmetic number, because the mean of its divisors is an integer number (122640).

Almost surely, 23886336 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 3886336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4415040).

3886336 is an abundant number, since it is smaller than the sum of its proper divisors (4943744).

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

3886336 is a wasteful number, since it uses less digits than its factorization.

3886336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 85 counting only the distinct ones).

The product of its digits is 62208, while the sum is 37.

The square root of 3886336 is about 1971.3792126326. The cubic root of 3886336 is about 157.2220477680. Note that the first 3 decimals are identical.

It can be divided in two parts, 388 and 6336, that added together give a square (6724 = 822).

The spelling of 3886336 in words is "three million, eight hundred eighty-six thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 17 19 32 34 38 47 64 68 76 94 128 136 152 188 256 272 304 323 376 544 608 646 752 799 893 1088 1216 1292 1504 1598 1786 2176 2432 2584 3008 3196 3572 4352 4864 5168 6016 6392 7144 10336 12032 12784 14288 15181 20672 25568 28576 30362 41344 51136 57152 60724 82688 102272 114304 121448 204544 228608 242896 485792 971584 1943168 3886336