Base | Representation |
---|---|
bin | 1100011000111011… |
… | …1000000010000000 |
3 | 22120210001112212000 |
4 | 3012032320002000 |
5 | 23302400211123 |
6 | 1310003104000 |
7 | 145262506524 |
oct | 30616700200 |
9 | 8523045760 |
10 | 3325788288 |
11 | 1457358a69 |
12 | 789972000 |
13 | 410041284 |
14 | 2379add84 |
15 | 146e98b43 |
hex | c63b8080 |
3325788288 has 128 divisors (see below), whose sum is σ = 9882249600. Its totient is φ = 1101081600.
The previous prime is 3325788281. The next prime is 3325788289. The reversal of 3325788288 is 8828875233.
It is a happy number.
3325788288 is a `hidden beast` number, since 33 + 257 + 88 + 288 = 666.
It is a tau number, because it is divible by the number of its divisors (128).
It is a super-2 number, since 2×33257882882 = 22121735473195941888, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is not an unprimeable number, because it can be changed into a prime (3325788281) by changing a digit.
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 15 ways as a sum of consecutive naturals, for example, 518670 + ... + 525042.
It is an arithmetic number, because the mean of its divisors is an integer number (77205075).
Almost surely, 23325788288 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 3325788288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4941124800).
3325788288 is an abundant number, since it is smaller than the sum of its proper divisors (6556461312).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3325788288 is a wasteful number, since it uses less digits than its factorization.
3325788288 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6547 (or 6529 counting only the distinct ones).
The product of its digits is 5160960, while the sum is 54.
The square root of 3325788288 is about 57669.6478921105. The cubic root of 3325788288 is about 1492.6736506621.
The spelling of 3325788288 in words is "three billion, three hundred twenty-five million, seven hundred eighty-eight thousand, two hundred eighty-eight".
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