Base | Representation |
---|---|
bin | 1001000011010111… |
… | …0101110110101000 |
3 | 20021100112111001002 |
4 | 2100311311312220 |
5 | 14434042031240 |
6 | 1041044014132 |
7 | 114134641151 |
oct | 22065656650 |
9 | 6240474032 |
10 | 2430033320 |
11 | 1037766000 |
12 | 579991348 |
13 | 2c95a2b50 |
14 | 190a3a928 |
15 | e3509d15 |
hex | 90d75da8 |
2430033320 has 128 divisors (see below), whose sum is σ = 6478375680. Its totient is φ = 815443200.
The previous prime is 2430033299. The next prime is 2430033343. The reversal of 2430033320 is 233300342.
2430033320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a junction number, because it is equal to n+sod(n) for n = 2430033292 and 2430033301.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 690365 + ... + 693875.
It is an arithmetic number, because the mean of its divisors is an integer number (50612310).
Almost surely, 22430033320 is an apocalyptic number.
2430033320 is a gapful number since it is divisible by the number (20) 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 2430033320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3239187840).
2430033320 is an abundant number, since it is smaller than the sum of its proper divisors (4048342360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2430033320 is a wasteful number, since it uses less digits than its factorization.
2430033320 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3568 (or 3542 counting only the distinct ones).
The product of its (nonzero) digits is 1296, while the sum is 20.
The square root of 2430033320 is about 49295.3681394104. The cubic root of 2430033320 is about 1344.4275688117.
Adding to 2430033320 its reverse (233300342), we get a palindrome (2663333662).
The spelling of 2430033320 in words is "two billion, four hundred thirty million, thirty-three thousand, three hundred twenty".
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