Base | Representation |
---|---|
bin | 11011111010101… |
… | …10001100000000 |
3 | 121022122212002000 |
4 | 31331112030000 |
5 | 434422413342 |
6 | 35123224000 |
7 | 5542354323 |
oct | 1575261400 |
9 | 538585060 |
10 | 234185472 |
11 | 110212014 |
12 | 66518000 |
13 | 396963b1 |
14 | 231607ba |
15 | 1585d44c |
hex | df56300 |
234185472 has 144 divisors (see below), whose sum is σ = 733632480. Its totient is φ = 73433088.
The previous prime is 234185459. The next prime is 234185491. The reversal of 234185472 is 274581432.
It is a happy number.
234185472 is a `hidden beast` number, since 2 + 3 + 4 + 185 + 472 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an alternating number because its digits alternate between even and odd.
It is an unprimeable number.
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, 116508 + ... + 118500.
It is an arithmetic number, because the mean of its divisors is an integer number (5094670).
Almost surely, 2234185472 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 234185472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366816240).
234185472 is an abundant number, since it is smaller than the sum of its proper divisors (499447008).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
234185472 is a wasteful number, since it uses less digits than its factorization.
234185472 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2035 (or 2015 counting only the distinct ones).
The product of its digits is 53760, while the sum is 36.
The square root of 234185472 is about 15303.1196819472. The cubic root of 234185472 is about 616.3867813235.
The spelling of 234185472 in words is "two hundred thirty-four million, one hundred eighty-five thousand, four hundred seventy-two".
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