Base | Representation |
---|---|
bin | 11000010101011… |
… | …00101111101000 |
3 | 112020002221111200 |
4 | 30022230233220 |
5 | 404224200204 |
6 | 32131124200 |
7 | 5026041666 |
oct | 1412545750 |
9 | 466087450 |
10 | 204131304 |
11 | a5254963 |
12 | 58443660 |
13 | 333a2870 |
14 | 1d179c36 |
15 | 12dc3539 |
hex | c2acbe8 |
204131304 has 72 divisors (see below), whose sum is σ = 596660610. Its totient is φ = 62675136.
The previous prime is 204131303. The next prime is 204131309. The reversal of 204131304 is 403131402.
204131304 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in only one way, i.e., 196280100 + 7851204 = 14010^2 + 2802^2 .
It is a tau number, because it is divible by the number of its divisors (72).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (204131303) 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, 436879 + ... + 437345.
Almost surely, 2204131304 is an apocalyptic number.
204131304 is a gapful number since it is divisible by the number (24) 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 204131304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298330305).
204131304 is an abundant number, since it is smaller than the sum of its proper divisors (392529306).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
204131304 is a wasteful number, since it uses less digits than its factorization.
204131304 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 959 (or 485 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
The square root of 204131304 is about 14287.4526770870. The cubic root of 204131304 is about 588.8028045732.
Adding to 204131304 its reverse (403131402), we get a palindrome (607262706).
The spelling of 204131304 in words is "two hundred four million, one hundred thirty-one thousand, three hundred four".
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