Base | Representation |
---|---|
bin | 1100010101000100000000 |
3 | 20002012110201 |
4 | 30111010000 |
5 | 1311411000 |
6 | 153134544 |
7 | 36320512 |
oct | 14250400 |
9 | 6065421 |
10 | 3232000 |
11 | 1908282 |
12 | 10ba454 |
13 | 892135 |
14 | 601bb2 |
15 | 43c96a |
hex | 315100 |
3232000 has 72 divisors (see below), whose sum is σ = 8131032. Its totient is φ = 1280000.
The previous prime is 3231979. The next prime is 3232003. The reversal of 3232000 is 2323.
It can be written as a sum of positive squares in 4 ways, for example, as 20736 + 3211264 = 144^2 + 1792^2 .
It is a Harshad number since it is a multiple of its sum of digits (10).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (3232003) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31950 + ... + 32050.
It is an arithmetic number, because the mean of its divisors is an integer number (112931).
Almost surely, 23232000 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 3232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4065516).
3232000 is an abundant number, since it is smaller than the sum of its proper divisors (4899032).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3232000 is an equidigital number, since it uses as much as digits as its factorization.
3232000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 132 (or 108 counting only the distinct ones).
The product of its (nonzero) digits is 36, while the sum is 10.
The square root of 3232000 is about 1797.7764043395. The cubic root of 3232000 is about 147.8508358343.
Adding to 3232000 its reverse (2323), we get a palindrome (3234323).
The spelling of 3232000 in words is "three million, two hundred thirty-two thousand".
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