Base | Representation |
---|---|
bin | 11011111110011… |
… | …01110001010000 |
3 | 121100120201222001 |
4 | 31333031301100 |
5 | 440034102110 |
6 | 35141523344 |
7 | 5546464330 |
oct | 1577156120 |
9 | 540521861 |
10 | 234675280 |
11 | 110517014 |
12 | 66713554 |
13 | 39808318 |
14 | 2324b0c0 |
15 | 1590863a |
hex | dfcdc50 |
234675280 has 80 divisors (see below), whose sum is σ = 625495680. Its totient is φ = 80211456.
The previous prime is 234675271. The next prime is 234675281. The reversal of 234675280 is 82576432.
234675280 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
234675280 is a nontrivial binomial coefficient, being equal to C(21665, 2).
It is a tau number, because it is divible by the number of its divisors (80).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (234675281) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 346302 + ... + 346978.
It is an arithmetic number, because the mean of its divisors is an integer number (7818696).
Almost surely, 2234675280 is an apocalyptic number.
234675280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
234675280 is the 21664-th triangular number.
234675280 is the 7222-nd centered nonagonal number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 234675280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312747840).
234675280 is an abundant number, since it is smaller than the sum of its proper divisors (390820400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
234675280 is a wasteful number, since it uses less digits than its factorization.
234675280 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1316 (or 1310 counting only the distinct ones).
The product of its (nonzero) digits is 80640, while the sum is 37.
The square root of 234675280 is about 15319.1148569361. The cubic root of 234675280 is about 616.8162143593.
It can be divided in two parts, 234675 and 280, that added together give a triangular number (234955 = T685).
The spelling of 234675280 in words is "two hundred thirty-four million, six hundred seventy-five thousand, two hundred eighty".
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