| Base | Representation |
|---|---|
| bin | 1100001110101101… |
| … | …1111111010000000 |
| 3 | 22110210110122111010 |
| 4 | 3003223133322000 |
| 5 | 23210414210000 |
| 6 | 1301433120520 |
| 7 | 144232461645 |
| oct | 30353377200 |
| 9 | 8423418433 |
| 10 | 3282960000 |
| 11 | 1435166491 |
| 12 | 777559140 |
| 13 | 4041c72a8 |
| 14 | 232021dcc |
| 15 | 143338d50 |
| hex | c3adfe80 |
3282960000 has 160 divisors (see below), whose sum is σ = 10897761600. Its totient is φ = 875392000.
The previous prime is 3282959989. The next prime is 3282960019. The reversal of 3282960000 is 692823.
It is a tau number, because it is divible by the number of its divisors (160).
It is a Harshad number since it is a multiple of its sum of digits (30).
It is a self number, because there is not a number n which added to its sum of digits gives 3282960000.
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 19 ways as a sum of consecutive naturals, for example, 233161 + ... + 246839.
It is an arithmetic number, because the mean of its divisors is an integer number (68111010).
Almost surely, 23282960000 is an apocalyptic number.
3282960000 is a gapful number since it is divisible by the number (30) 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 3282960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5448880800).
3282960000 is an abundant number, since it is smaller than the sum of its proper divisors (7614801600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3282960000 is an equidigital number, since it uses as much as digits as its factorization.
3282960000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 13716 (or 13689 counting only the distinct ones).
The product of its (nonzero) digits is 5184, while the sum is 30.
The square root of 3282960000 is about 57297.1203464886. The cubic root of 3282960000 is about 1486.2385794009.
It can be divided in two parts, 32829 and 60000, that added together give a palindrome (92829).
The spelling of 3282960000 in words is "three billion, two hundred eighty-two million, nine hundred sixty thousand".
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