| Base | Representation |
|---|---|
| bin | 1100100110011111… |
| … | …1000100000100000 |
| 3 | 22201202002201102100 |
| 4 | 3021213320200200 |
| 5 | 23411431103423 |
| 6 | 1315354250400 |
| 7 | 146553160443 |
| oct | 31147704040 |
| 9 | 8652081370 |
| 10 | 3382675488 |
| 11 | 1486483185 |
| 12 | 7a4a26a00 |
| 13 | 41ba6b43a |
| 14 | 24137b65a |
| 15 | 14be84343 |
| hex | c99f8820 |
3382675488 has 144 divisors (see below), whose sum is σ = 10181414880. Its totient is φ = 1062346752.
The previous prime is 3382675447. The next prime is 3382675489. The reversal of 3382675488 is 8845762833.
3382675488 is a `hidden beast` number, since 3 + 38 + 2 + 67 + 548 + 8 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-2 number, since 2×33826754882 = 22884986914232076288, which contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (3382675489) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1054495 + ... + 1057697.
It is an arithmetic number, because the mean of its divisors is an integer number (70704270).
Almost surely, 23382675488 is an apocalyptic number.
3382675488 is a gapful number since it is divisible by the number (38) 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 3382675488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5090707440).
3382675488 is an abundant number, since it is smaller than the sum of its proper divisors (6798739392).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3382675488 is a wasteful number, since it uses less digits than its factorization.
3382675488 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3431 (or 3420 counting only the distinct ones).
The product of its digits is 7741440, while the sum is 54.
The square root of 3382675488 is about 58160.7727596530. The cubic root of 3382675488 is about 1501.1362484090.
The spelling of 3382675488 in words is "three billion, three hundred eighty-two million, six hundred seventy-five thousand, four hundred eighty-eight".
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