Base | Representation |
---|---|
bin | 11011111010110… |
… | …01100100000000 |
3 | 121022200120001000 |
4 | 31331121210000 |
5 | 434423334141 |
6 | 35123412000 |
7 | 5542442532 |
oct | 1575314400 |
9 | 538616030 |
10 | 234199296 |
11 | 110221441 |
12 | 66524000 |
13 | 3969c786 |
14 | 23165852 |
15 | 158625b6 |
hex | df59900 |
234199296 has 144 divisors (see below), whose sum is σ = 715563520. Its totient is φ = 75479040.
The previous prime is 234199291. The next prime is 234199321. The reversal of 234199296 is 692991432.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (144).
It is a nude number because it is divisible by every one of its digits.
It is not an unprimeable number, because it can be changed into a prime (234199291) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 213726 + ... + 214818.
Almost surely, 2234199296 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 234199296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357781760).
234199296 is an abundant number, since it is smaller than the sum of its proper divisors (481364224).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
234199296 is a wasteful number, since it uses less digits than its factorization.
234199296 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1149 (or 1129 counting only the distinct ones).
The product of its digits is 209952, while the sum is 45.
The square root of 234199296 is about 15303.5713478913. The cubic root of 234199296 is about 616.3989095499.
The spelling of 234199296 in words is "two hundred thirty-four million, one hundred ninety-nine thousand, two hundred ninety-six".
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