Base | Representation |
---|---|
bin | 11011111100101… |
… | …00101000000000 |
3 | 121100010211220000 |
4 | 31332110220000 |
5 | 440004104331 |
6 | 35132520000 |
7 | 5544501042 |
oct | 1576245000 |
9 | 540124800 |
10 | 234441216 |
11 | 110377179 |
12 | 66620000 |
13 | 39755919 |
14 | 231c9a92 |
15 | 158ae0e6 |
hex | df94a00 |
234441216 has 100 divisors (see below), whose sum is σ = 699869082. Its totient is φ = 78133248.
The previous prime is 234441211. The next prime is 234441223. The reversal of 234441216 is 612144432.
It is a happy number.
234441216 is a `hidden beast` number, since 2 + 3 + 4 + 441 + 216 = 666.
It can be written as a sum of positive squares in only one way, i.e., 171714816 + 62726400 = 13104^2 + 7920^2 .
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.
It is a nialpdrome in base 12.
It is a self number, because there is not a number n which added to its sum of digits gives 234441216.
It is not an unprimeable number, because it can be changed into a prime (234441211) by changing a digit.
It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 38646 + ... + 44298.
Almost surely, 2234441216 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 234441216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349934541).
234441216 is an abundant number, since it is smaller than the sum of its proper divisors (465427866).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
234441216 is an frugal number, since it uses more digits than its factorization.
234441216 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5683 (or 5658 counting only the distinct ones).
The product of its digits is 4608, while the sum is 27.
The square root of 234441216 is about 15311.4733451749. The cubic root of 234441216 is about 616.6110762972.
Adding to 234441216 its reverse (612144432), we get a palindrome (846585648).
The spelling of 234441216 in words is "two hundred thirty-four million, four hundred forty-one thousand, two hundred sixteen".
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