Base | Representation |
---|---|
bin | 1100001110010101… |
… | …0111000110000000 |
3 | 22110200102220102000 |
4 | 3003211113012000 |
5 | 23210011213130 |
6 | 1301334424000 |
7 | 144213011052 |
oct | 30345270600 |
9 | 8420386360 |
10 | 3281351040 |
11 | 1434267670 |
12 | 776b02000 |
13 | 403a82b46 |
14 | 231b238d2 |
15 | 14311c260 |
hex | c3957180 |
3281351040 has 512 divisors, whose sum is σ = 12931315200. Its totient is φ = 779673600.
The previous prime is 3281350993. The next prime is 3281351069. The reversal of 3281351040 is 401531823.
It is a happy number.
3281351040 is a `hidden beast` number, since 32 + 81 + 3 + 510 + 40 = 666.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 3281350995 and 3281351013.
It is a congruent number.
It is an unprimeable number.
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 63 ways as a sum of consecutive naturals, for example, 11594739 + ... + 11595021.
It is an arithmetic number, because the mean of its divisors is an integer number (25256475).
Almost surely, 23281351040 is an apocalyptic number.
3281351040 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 3281351040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6465657600).
3281351040 is an abundant number, since it is smaller than the sum of its proper divisors (9649964160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3281351040 is a wasteful number, since it uses less digits than its factorization.
3281351040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 383 (or 365 counting only the distinct ones).
The product of its (nonzero) digits is 2880, while the sum is 27.
The square root of 3281351040 is about 57283.0781295838. The cubic root of 3281351040 is about 1485.9957407040.
Adding to 3281351040 its reverse (401531823), we get a palindrome (3682882863).
The spelling of 3281351040 in words is "three billion, two hundred eighty-one million, three hundred fifty-one thousand, forty".
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