Base | Representation |
---|---|
bin | 1100110000000000000000 |
3 | 20021210211020 |
4 | 30300000000 |
5 | 1323423321 |
6 | 155345440 |
7 | 40260264 |
oct | 14600000 |
9 | 6253736 |
10 | 3342336 |
11 | 1983168 |
12 | 1152280 |
13 | 90041a |
14 | 6300a4 |
15 | 4604c6 |
hex | 330000 |
3342336 has 68 divisors (see below), whose sum is σ = 9437112. Its totient is φ = 1048576.
The previous prime is 3342331. The next prime is 3342341. The reversal of 3342336 is 6332433.
It is an interprime number because it is at equal distance from previous prime (3342331) and next prime (3342341).
It is a tau number, because it is divible by the number of its divisors (68).
It is a super-2 number, since 2×33423362 = 22342419873792, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a nude number because it is divisible by every one of its digits.
It is a d-powerful number, because it can be written as 3 + 34 + 48 + 211 + 36 + 313 + 68 .
It is a nialpdrome in base 16.
It is a zygodrome in base 2 and base 16.
It is not an unprimeable number, because it can be changed into a prime (3342331) by changing a digit.
In principle, a polygon with 3342336 sides can be constructed with ruler and compass.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 196600 + ... + 196616.
Almost surely, 23342336 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 3342336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4718556).
3342336 is an abundant number, since it is smaller than the sum of its proper divisors (6094776).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3342336 is an frugal number, since it uses more digits than its factorization.
3342336 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 52 (or 22 counting only the distinct ones).
The product of its digits is 3888, while the sum is 24.
The square root of 3342336 is about 1828.2056777070. The cubic root of 3342336 is about 149.5145193074.
Adding to 3342336 its reverse (6332433), we get a palindrome (9674769).
The spelling of 3342336 in words is "three million, three hundred forty-two thousand, three hundred thirty-six".
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