| Base | Representation |
|---|---|
| bin | 1100011011111111… |
| … | …1001111100000000 |
| 3 | 22121200020112200000 |
| 4 | 3012333321330000 |
| 5 | 23314143004102 |
| 6 | 1311142400000 |
| 7 | 145506660450 |
| oct | 30677717400 |
| 9 | 8550215600 |
| 10 | 3338641152 |
| 11 | 1463637570 |
| 12 | 792130000 |
| 13 | 4128c1512 |
| 14 | 239597d60 |
| 15 | 14818701c |
| hex | c6ff9f00 |
3338641152 has 864 divisors, whose sum is σ = 13499426304. Its totient is φ = 796262400.
The previous prime is 3338641133. The next prime is 3338641213. The reversal of 3338641152 is 2511468333.
3338641152 is a `hidden beast` number, since 3 + 3 + 3 + 8 + 641 + 1 + 5 + 2 = 666.
It is a tau number, because it is divible by the number of its divisors (864).
It is a super-2 number, since 2×33386411522 = 22293049483655774208, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
Its product of digits (51840) is a multiple of the sum of its prime divisors (81).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 81430252 + ... + 81430292.
It is an arithmetic number, because the mean of its divisors is an integer number (15624336).
Almost surely, 23338641152 is an apocalyptic number.
3338641152 is a gapful number since it is divisible by the number (32) 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 3338641152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6749713152).
3338641152 is an abundant number, since it is smaller than the sum of its proper divisors (10160785152).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3338641152 is a wasteful number, since it uses less digits than its factorization.
3338641152 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 107 (or 81 counting only the distinct ones).
The product of its digits is 51840, while the sum is 36.
The square root of 3338641152 is about 57780.9756926966. The cubic root of 3338641152 is about 1494.5940445020.
The spelling of 3338641152 in words is "three billion, three hundred thirty-eight million, six hundred forty-one thousand, one hundred fifty-two".
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