Base | Representation |
---|---|
bin | 1011100101101110100000 |
3 | 12201100111200 |
4 | 23211232200 |
5 | 1234204422 |
6 | 145041200 |
7 | 34552320 |
oct | 13455640 |
9 | 5640450 |
10 | 3038112 |
11 | 1795640 |
12 | 1026200 |
13 | 824acc |
14 | 591280 |
15 | 4002ac |
hex | 2e5ba0 |
3038112 has 144 divisors (see below), whose sum is σ = 10850112. Its totient is φ = 783360.
The previous prime is 3038111. The next prime is 3038129. The reversal of 3038112 is 2118303.
3038112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (3038111) by changing a digit.
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 23 ways as a sum of consecutive naturals, for example, 22108 + ... + 22244.
It is an arithmetic number, because the mean of its divisors is an integer number (75348).
Almost surely, 23038112 is an apocalyptic number.
3038112 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 3038112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5425056).
3038112 is an abundant number, since it is smaller than the sum of its proper divisors (7812000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3038112 is a wasteful number, since it uses less digits than its factorization.
3038112 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 171 (or 160 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 18.
The square root of 3038112 is about 1743.0180721955. The cubic root of 3038112 is about 144.8331334493.
The spelling of 3038112 in words is "three million, thirty-eight thousand, one hundred twelve".
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