Base | Representation |
---|---|
bin | 1100011001111011… |
… | …1100010111000100 |
3 | 22121001222112200100 |
4 | 3012132330113010 |
5 | 23304440002244 |
6 | 1310233244100 |
7 | 145343351520 |
oct | 30636742704 |
9 | 8531875610 |
10 | 3330000324 |
11 | 1459775592 |
12 | 78b263630 |
13 | 410b874c1 |
14 | 238388d80 |
15 | 14752bb69 |
hex | c67bc5c4 |
3330000324 has 144 divisors (see below), whose sum is σ = 10423340928. Its totient is φ = 874589184.
The previous prime is 3330000319. The next prime is 3330000347. The reversal of 3330000324 is 4230000333.
It is a super-3 number, since 3×33300003243 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 3330000297 and 3330000306.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 175174 + ... + 193250.
It is an arithmetic number, because the mean of its divisors is an integer number (72384312).
Almost surely, 23330000324 is an apocalyptic number.
3330000324 is a gapful number since it is divisible by the number (34) 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 3330000324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5211670464).
3330000324 is an abundant number, since it is smaller than the sum of its proper divisors (7093340604).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3330000324 is a wasteful number, since it uses less digits than its factorization.
3330000324 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 18154 (or 18149 counting only the distinct ones).
The product of its (nonzero) digits is 648, while the sum is 18.
The square root of 3330000324 is about 57706.1549923403. The cubic root of 3330000324 is about 1493.3035306862.
Adding to 3330000324 its reverse (4230000333), we get a palindrome (7560000657).
Subtracting 3330000324 from its reverse (4230000333), we obtain a palindrome (900000009).
The spelling of 3330000324 in words is "three billion, three hundred thirty million, three hundred twenty-four", and thus it is an aban number.
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