Base | Representation |
---|---|
bin | 1101110100110001101000 |
3 | 20211010020201 |
4 | 31310301220 |
5 | 1411432130 |
6 | 205401544 |
7 | 42542500 |
oct | 15646150 |
9 | 6733221 |
10 | 3624040 |
11 | 2055882 |
12 | 12692b4 |
13 | 99b704 |
14 | 6a4a00 |
15 | 4b8bca |
hex | 374c68 |
3624040 has 72 divisors (see below), whose sum is σ = 9711090. Its totient is φ = 1213632.
The previous prime is 3624013. The next prime is 3624059. The reversal of 3624040 is 404263.
3624040 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 only one way, i.e., 3261636 + 362404 = 1806^2 + 602^2 .
It is a junction number, because it is equal to n+sod(n) for n = 3623999 and 3624017.
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 17 ways as a sum of consecutive naturals, for example, 84259 + ... + 84301.
Almost surely, 23624040 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 3624040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4855545).
3624040 is an abundant number, since it is smaller than the sum of its proper divisors (6087050).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3624040 is a wasteful number, since it uses less digits than its factorization.
3624040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 111 (or 57 counting only the distinct ones).
The product of its (nonzero) digits is 576, while the sum is 19.
The square root of 3624040 is about 1903.6911514214. The cubic root of 3624040 is about 153.6022795162.
The spelling of 3624040 in words is "three million, six hundred twenty-four thousand, forty".
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