Base | Representation |
---|---|
bin | 1100010011011100100000 |
3 | 20001212101101 |
4 | 30103130200 |
5 | 1311203001 |
6 | 153044144 |
7 | 36262300 |
oct | 14233440 |
9 | 6055341 |
10 | 3225376 |
11 | 1903300 |
12 | 10b6654 |
13 | 88c10b |
14 | 5dd600 |
15 | 43aa01 |
hex | 313720 |
3225376 has 108 divisors (see below), whose sum is σ = 8596854. Its totient is φ = 1182720.
The previous prime is 3225373. The next prime is 3225377. The reversal of 3225376 is 6735223.
It can be written as a sum of positive squares in only one way, i.e., 2371600 + 853776 = 1540^2 + 924^2 .
It is a Harshad number since it is a multiple of its sum of digits (28).
It is a d-powerful number, because it can be written as 313 + 210 + 214 + 56 + 313 + 74 + 64 .
Its product of digits (7560) is a multiple of the sum of its prime factors (63).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (3225371) by changing a digit.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 189720 + ... + 189736.
Almost surely, 23225376 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 3225376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4298427).
3225376 is an abundant number, since it is smaller than the sum of its proper divisors (5371478).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3225376 is a wasteful number, since it uses less digits than its factorization.
3225376 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 63 (or 37 counting only the distinct ones).
The product of its digits is 7560, while the sum is 28.
The square root of 3225376 is about 1795.9331836124. The cubic root of 3225376 is about 147.7497597442.
The spelling of 3225376 in words is "three million, two hundred twenty-five thousand, three hundred seventy-six".
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