Base | Representation |
---|---|
bin | 1100000101011101… |
… | …1011010110000000 |
3 | 22101002102120221111 |
4 | 3001113123112000 |
5 | 23121000102000 |
6 | 1253525133104 |
7 | 143251524526 |
oct | 30127332600 |
9 | 8332376844 |
10 | 3244144000 |
11 | 1415264449 |
12 | 76655a194 |
13 | 3c9156646 |
14 | 22abda316 |
15 | 13ec1ccba |
hex | c15db580 |
3244144000 has 128 divisors (see below), whose sum is σ = 8540925120. Its totient is φ = 1221222400.
The previous prime is 3244143989. The next prime is 3244144019. The reversal of 3244144000 is 4414423.
It is a tau number, because it is divible by the number of its divisors (128).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 266037 + ... + 277963.
Almost surely, 23244144000 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 3244144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4270462560).
3244144000 is an abundant number, since it is smaller than the sum of its proper divisors (5296781120).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3244144000 is a wasteful number, since it uses less digits than its factorization.
3244144000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 11973 (or 11951 counting only the distinct ones).
The product of its (nonzero) digits is 1536, while the sum is 22.
The square root of 3244144000 is about 56957.3875805413. The cubic root of 3244144000 is about 1480.3578389667.
Adding to 3244144000 its reverse (4414423), we get a palindrome (3248558423).
The spelling of 3244144000 in words is "three billion, two hundred forty-four million, one hundred forty-four thousand".
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