Base | Representation |
---|---|
bin | 11000010000000… |
… | …00010000000000 |
3 | 112011210001022200 |
4 | 30020000100000 |
5 | 404034043033 |
6 | 32104033200 |
7 | 5020040061 |
oct | 1410002000 |
9 | 464701280 |
10 | 203424768 |
11 | a4912048 |
12 | 58162800 |
13 | 331b60b1 |
14 | 1d034568 |
15 | 12cd4013 |
hex | c200400 |
203424768 has 66 divisors (see below), whose sum is σ = 587411214. Its totient is φ = 67805184.
The previous prime is 203424757. The next prime is 203424799. The reversal of 203424768 is 867424302.
It can be written as a sum of positive squares in only one way, i.e., 201867264 + 1557504 = 14208^2 + 1248^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an unprimeable number.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1821 + ... + 20252.
Almost surely, 2203424768 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 203424768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293705607).
203424768 is an abundant number, since it is smaller than the sum of its proper divisors (383986446).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
203424768 is a wasteful number, since it uses less digits than its factorization.
203424768 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 22099 (or 22078 counting only the distinct ones).
The product of its (nonzero) digits is 64512, while the sum is 36.
The square root of 203424768 is about 14262.7054936993. The cubic root of 203424768 is about 588.1227010352.
The spelling of 203424768 in words is "two hundred three million, four hundred twenty-four thousand, seven hundred sixty-eight".
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