Base | Representation |
---|---|
bin | 1000000101100111… |
… | …00000010000100000 |
3 | 102012121021122002002 |
4 | 10002303200100200 |
5 | 32343024220300 |
6 | 1554504343132 |
7 | 212412405524 |
oct | 40263402040 |
9 | 12177248062 |
10 | 4342023200 |
11 | 1928a60329 |
12 | a12174aa8 |
13 | 542743bc8 |
14 | 2d2945d84 |
15 | 1a62d55d5 |
hex | 102ce0420 |
4342023200 has 144 divisors (see below), whose sum is σ = 10785950280. Its totient is φ = 1706680320.
The previous prime is 4342023143. The next prime is 4342023209. The reversal of 4342023200 is 23202434.
It can be written as a sum of positive squares in 12 ways, for example, as 2212385296 + 2129637904 = 47036^2 + 46148^2 .
It is a Harshad number since it is a multiple of its sum of digits (20).
It is not an unprimeable number, because it can be changed into a prime (4342023209) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18960686 + ... + 18960914.
Almost surely, 24342023200 is an apocalyptic number.
4342023200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 4342023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5392975140).
4342023200 is an abundant number, since it is smaller than the sum of its proper divisors (6443927080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4342023200 is a wasteful number, since it uses less digits than its factorization.
4342023200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 559 (or 546 counting only the distinct ones).
The product of its (nonzero) digits is 1152, while the sum is 20.
The square root of 4342023200 is about 65894.0300786042. The cubic root of 4342023200 is about 1631.4134802860.
Adding to 4342023200 its reverse (23202434), we get a palindrome (4365225634).
The spelling of 4342023200 in words is "four billion, three hundred forty-two million, twenty-three thousand, two hundred".
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