Base | Representation |
---|---|
bin | 11011111110101… |
… | …10100010100000 |
3 | 121100122120020102 |
4 | 31333112202200 |
5 | 440041224300 |
6 | 35142401532 |
7 | 5550004133 |
oct | 1577264240 |
9 | 540576212 |
10 | 234711200 |
11 | 110540aa9 |
12 | 667302a8 |
13 | 3981b789 |
14 | 2325a21a |
15 | 159140d5 |
hex | dfd68a0 |
234711200 has 72 divisors (see below), whose sum is σ = 586399968. Its totient is φ = 91687680.
The previous prime is 234711149. The next prime is 234711221. The reversal of 234711200 is 2117432.
234711200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (20).
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30989 + ... + 37811.
It is an arithmetic number, because the mean of its divisors is an integer number (8144444).
Almost surely, 2234711200 is an apocalyptic number.
234711200 is a gapful number since it is divisible by the number (20) 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 234711200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293199984).
234711200 is an abundant number, since it is smaller than the sum of its proper divisors (351688768).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
234711200 is a wasteful number, since it uses less digits than its factorization.
234711200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6886 (or 6873 counting only the distinct ones).
The product of its (nonzero) digits is 336, while the sum is 20.
The square root of 234711200 is about 15320.2872035742. The cubic root of 234711200 is about 616.8476832442.
Adding to 234711200 its reverse (2117432), we get a palindrome (236828632).
The spelling of 234711200 in words is "two hundred thirty-four million, seven hundred eleven thousand, two hundred".
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