| Base | Representation |
|---|---|
| bin | 1100000110101111… |
| … | …1010000011000000 |
| 3 | 22101110112100100000 |
| 4 | 3001223322003000 |
| 5 | 23123333401030 |
| 6 | 1254240200000 |
| 7 | 143345254533 |
| oct | 30153720300 |
| 9 | 8343470300 |
| 10 | 3249512640 |
| 11 | 14182a0a40 |
| 12 | 768309000 |
| 13 | 3ca2b615a |
| 14 | 22b7d6a1a |
| 15 | 14042d860 |
| hex | c1afa0c0 |
3249512640 has 672 divisors, whose sum is σ = 13180527360. Its totient is φ = 754790400.
The previous prime is 3249512633. The next prime is 3249512641. The reversal of 3249512640 is 462159423.
It is a happy number.
3249512640 is a `hidden beast` number, since 3 + 2 + 4 + 9 + 5 + 1 + 2 + 640 = 666.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 3249512595 and 3249512604.
It is not an unprimeable number, because it can be changed into a prime (3249512641) 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 95 ways as a sum of consecutive naturals, for example, 24805375 + ... + 24805505.
It is an arithmetic number, because the mean of its divisors is an integer number (19613880).
Almost surely, 23249512640 is an apocalyptic number.
3249512640 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 3249512640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6590263680).
3249512640 is an abundant number, since it is smaller than the sum of its proper divisors (9931014720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3249512640 is a wasteful number, since it uses less digits than its factorization.
3249512640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 203 (or 181 counting only the distinct ones).
The product of its (nonzero) digits is 51840, while the sum is 36.
The square root of 3249512640 is about 57004.4966647369. The cubic root of 3249512640 is about 1481.1739893699.
The spelling of 3249512640 in words is "three billion, two hundred forty-nine million, five hundred twelve thousand, six hundred forty".
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