Base | Representation |
---|---|
bin | 1000110010100010010000 |
3 | 11100001200200 |
4 | 20302202100 |
5 | 1042213034 |
6 | 121215200 |
7 | 25404423 |
oct | 10624220 |
9 | 4301620 |
10 | 2304144 |
11 | 1334157 |
12 | 931500 |
13 | 6289cb |
14 | 43d9ba |
15 | 307a99 |
hex | 232890 |
2304144 has 30 divisors (see below), whose sum is σ = 6448806. Its totient is φ = 768000.
The previous prime is 2304139. The next prime is 2304157. The reversal of 2304144 is 4414032.
2304144 is digitally balanced in base 5, 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 only one way, i.e., 2214144 + 90000 = 1488^2 + 300^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7857 + ... + 8144.
22304144 is an apocalyptic number.
2304144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.
It is an amenable number.
2304144 is an abundant number, since it is smaller than the sum of its proper divisors (4144662).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2304144 is a wasteful number, since it uses less digits than its factorization.
2304144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 16015 (or 16006 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 18.
The square root of 2304144 is about 1517.9407103046. The cubic root of 2304144 is about 132.0798415045.
Adding to 2304144 its reverse (4414032), we get a palindrome (6718176).
It can be divided in two parts, 2304 and 144, that multiplied together give a 4-th power (331776 = 244).
The spelling of 2304144 in words is "two million, three hundred four thousand, one hundred forty-four".
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