Base | Representation |
---|---|
bin | 1100100011010010000000 |
3 | 20012011100202 |
4 | 30203102000 |
5 | 1320241430 |
6 | 154304332 |
7 | 36652352 |
oct | 14432200 |
9 | 6164322 |
10 | 3290240 |
11 | 1948008 |
12 | 11280a8 |
13 | 8b27b5 |
14 | 6190d2 |
15 | 44ed45 |
hex | 323480 |
3290240 has 64 divisors (see below), whose sum is σ = 8096760. Its totient is φ = 1277952.
The previous prime is 3290239. The next prime is 3290257. The reversal of 3290240 is 420923.
3290240 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 4 ways, for example, as 2849344 + 440896 = 1688^2 + 664^2 .
It is a tau number, because it is divible by the number of its divisors (64).
It is a Harshad number since it is a multiple of its sum of digits (20).
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 7 ways as a sum of consecutive naturals, for example, 33872 + ... + 33968.
Almost surely, 23290240 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 3290240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4048380).
3290240 is an abundant number, since it is smaller than the sum of its proper divisors (4806520).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3290240 is an equidigital number, since it uses as much as digits as its factorization.
3290240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 169 (or 157 counting only the distinct ones).
The product of its (nonzero) digits is 432, while the sum is 20.
The square root of 3290240 is about 1813.9018716568. The cubic root of 3290240 is about 148.7336351839.
The spelling of 3290240 in words is "three million, two hundred ninety thousand, two hundred forty".
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