Base | Representation |
---|---|
bin | 11011111100100… |
… | …00100000000000 |
3 | 121100002222201020 |
4 | 31332100200000 |
5 | 440003034240 |
6 | 35132305440 |
7 | 5544400554 |
oct | 1576204000 |
9 | 540088636 |
10 | 234424320 |
11 | 110365509 |
12 | 66612280 |
13 | 3974b020 |
14 | 231c3864 |
15 | 158a90d0 |
hex | df90800 |
234424320 has 192 divisors, whose sum is σ = 809040960. Its totient is φ = 57606144.
The previous prime is 234424301. The next prime is 234424327. The reversal of 234424320 is 23424432.
It is a tau number, because it is divible by the number of its divisors (192).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is not an unprimeable number, because it can be changed into a prime (234424327) 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, 399067 + ... + 399653.
It is an arithmetic number, because the mean of its divisors is an integer number (4213755).
Almost surely, 2234424320 is an apocalyptic number.
234424320 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 234424320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404520480).
234424320 is an abundant number, since it is smaller than the sum of its proper divisors (574616640).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
234424320 is a wasteful number, since it uses less digits than its factorization.
234424320 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 630 (or 610 counting only the distinct ones).
The product of its (nonzero) digits is 4608, while the sum is 24.
The square root of 234424320 is about 15310.9215921185. The cubic root of 234424320 is about 616.5962630444.
Adding to 234424320 its reverse (23424432), we get a palindrome (257848752).
The spelling of 234424320 in words is "two hundred thirty-four million, four hundred twenty-four thousand, three hundred twenty".
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