Base | Representation |
---|---|
bin | 1011101011010001000000 |
3 | 12202111121222 |
4 | 23223101000 |
5 | 1240421200 |
6 | 145334212 |
7 | 35005421 |
oct | 13532100 |
9 | 5674558 |
10 | 3060800 |
11 | 1800696 |
12 | 1037368 |
13 | 832232 |
14 | 599648 |
15 | 406d85 |
hex | 2eb440 |
3060800 has 42 divisors (see below), whose sum is σ = 7535418. Its totient is φ = 1223680.
The previous prime is 3060793. The next prime is 3060809. The reversal of 3060800 is 80603.
It is a happy number.
It can be written as a sum of positive squares in 3 ways, for example, as 602176 + 2458624 = 776^2 + 1568^2 .
It is not an unprimeable number, because it can be changed into a prime (3060809) by changing a digit.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 644 + ... + 2556.
Almost surely, 23060800 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 3060800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3767709).
3060800 is an abundant number, since it is smaller than the sum of its proper divisors (4474618).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3060800 is a wasteful number, since it uses less digits than its factorization.
3060800 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1935 (or 1920 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 17.
The square root of 3060800 is about 1749.5142182903. The cubic root of 3060800 is about 145.1927677921.
The spelling of 3060800 in words is "three million, sixty thousand, eight hundred".
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