Search a number
-
+
3281000 = 235317193
BaseRepresentation
bin1100100001000001101000
320011200200112
430201001220
51314443000
6154153452
736613412
oct14410150
96150615
103281000
111941078
121122888
138ab528
146159b2
1544c235
hex321068

3281000 has 64 divisors (see below), whose sum is σ = 8171280. Its totient is φ = 1228800.

The previous prime is 3280969. The next prime is 3281011. The reversal of 3281000 is 1823.

It can be written as a sum of positive squares in 8 ways, for example, as 119716 + 3161284 = 346^2 + 1778^2 .

It is a super-2 number, since 2×32810002 = 21529922000000, which contains 22 as substring.

It is a plaindrome in base 12.

It is a zygodrome in base 12.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16904 + ... + 17096.

Almost surely, 23281000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3281000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4085640).

3281000 is an abundant number, since it is smaller than the sum of its proper divisors (4890280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3281000 is a wasteful number, since it uses less digits than its factorization.

3281000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 3281000 is about 1811.3530854033. The cubic root of 3281000 is about 148.5942748045.

Adding to 3281000 its reverse (1823), we get a palindrome (3282823).

The spelling of 3281000 in words is "three million, two hundred eighty-one thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 193 200 250 340 386 425 500 680 772 850 965 1000 1544 1700 1930 2125 3281 3400 3860 4250 4825 6562 7720 8500 9650 13124 16405 17000 19300 24125 26248 32810 38600 48250 65620 82025 96500 131240 164050 193000 328100 410125 656200 820250 1640500 3281000