Base | Representation |
---|---|
bin | 1100000010001000… |
… | …0001011000000000 |
3 | 22100010002022112222 |
4 | 3000202001120000 |
5 | 23103404102000 |
6 | 1252305110212 |
7 | 143021525306 |
oct | 30042013000 |
9 | 8303068488 |
10 | 3230144000 |
11 | 1408371aa6 |
12 | 761928368 |
13 | 3c6294215 |
14 | 228dd4276 |
15 | 13d8a4a85 |
hex | c0881600 |
3230144000 has 160 divisors (see below), whose sum is σ = 8257721472. Its totient is φ = 1259520000.
The previous prime is 3230143957. The next prime is 3230144009. The reversal of 3230144000 is 4410323.
It is a tau number, because it is divible by the number of its divisors (160).
It is a self number, because there is not a number n which added to its sum of digits gives 3230144000.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (3230144009) by changing a digit.
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, 2623385 + ... + 2624615.
Almost surely, 23230144000 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 3230144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4128860736).
3230144000 is an abundant number, since it is smaller than the sum of its proper divisors (5027577472).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3230144000 is an equidigital number, since it uses as much as digits as its factorization.
3230144000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1305 (or 1279 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 17.
The square root of 3230144000 is about 56834.3558070293. The cubic root of 3230144000 is about 1478.2252893497.
Adding to 3230144000 its reverse (4410323), we get a palindrome (3234554323).
The spelling of 3230144000 in words is "three billion, two hundred thirty million, one hundred forty-four thousand".
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