Base | Representation |
---|---|
bin | 1100100110001011100000 |
3 | 20012202122110 |
4 | 30212023200 |
5 | 1321131422 |
6 | 154435320 |
7 | 40032102 |
oct | 14461340 |
9 | 6182573 |
10 | 3302112 |
11 | 1955a20 |
12 | 1132b40 |
13 | 8b8018 |
14 | 61d572 |
15 | 45360c |
hex | 3262e0 |
3302112 has 96 divisors (see below), whose sum is σ = 9797760. Its totient is φ = 965120.
The previous prime is 3302107. The next prime is 3302119. The reversal of 3302112 is 2112033.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (96).
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (3302119) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55939 + ... + 55997.
It is an arithmetic number, because the mean of its divisors is an integer number (102060).
Almost surely, 23302112 is an apocalyptic number.
3302112 is a gapful number since it is divisible by the number (32) 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 3302112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4898880).
3302112 is an abundant number, since it is smaller than the sum of its proper divisors (6495648).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3302112 is a wasteful number, since it uses less digits than its factorization.
3302112 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 136 (or 128 counting only the distinct ones).
The product of its (nonzero) digits is 36, while the sum is 12.
The square root of 3302112 is about 1817.1714283468. The cubic root of 3302112 is about 148.9123097072.
Adding to 3302112 its reverse (2112033), we get a palindrome (5414145).
It can be divided in two parts, 33021 and 12, that added together give a palindrome (33033).
The spelling of 3302112 in words is "three million, three hundred two thousand, one hundred twelve".
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