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3912336 = 2432101269
BaseRepresentation
bin1110111011001010010000
321100202201100
432323022100
52000143321
6215504400
745153141
oct16731220
97322640
103912336
11223243a
121388100
13a6c9bc
1473bac8
15524326
hex3bb290

3912336 has 60 divisors (see below), whose sum is σ = 11098620. Its totient is φ = 1286400.

The previous prime is 3912319. The next prime is 3912367. The reversal of 3912336 is 6332193.

3912336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2073600 + 1838736 = 1440^2 + 1356^2 .

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

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 11 ways as a sum of consecutive naturals, for example, 14410 + ... + 14678.

It is an arithmetic number, because the mean of its divisors is an integer number (184977).

Almost surely, 23912336 is an apocalyptic number.

3912336 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3912336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5549310).

3912336 is an abundant number, since it is smaller than the sum of its proper divisors (7186284).

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

3912336 is a wasteful number, since it uses less digits than its factorization.

With its successor (3912337) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (384).

3912336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 375 counting only the distinct ones).

The product of its digits is 2916, while the sum is 27.

The square root of 3912336 is about 1977.9625881194. The cubic root of 3912336 is about 157.5718795113.

The spelling of 3912336 in words is "three million, nine hundred twelve thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 101 144 202 269 303 404 538 606 807 808 909 1076 1212 1614 1616 1818 2152 2421 2424 3228 3636 4304 4842 4848 6456 7272 9684 12912 14544 19368 27169 38736 54338 81507 108676 163014 217352 244521 326028 434704 489042 652056 978084 1304112 1956168 3912336