Base | Representation |
---|---|
bin | 11011111001011… |
… | …10101000000000 |
3 | 121022100121210020 |
4 | 31330232220000 |
5 | 434402222144 |
6 | 35115533440 |
7 | 5541111015 |
oct | 1574565000 |
9 | 538317706 |
10 | 234023424 |
11 | 110111298 |
12 | 6645a280 |
13 | 3963a6cb |
14 | 2311b70c |
15 | 1582a419 |
hex | df2ea00 |
234023424 has 80 divisors (see below), whose sum is σ = 628203840. Its totient is φ = 77414400.
The previous prime is 234023381. The next prime is 234023477. The reversal of 234023424 is 424320432.
234023424 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 (24).
It is a junction number, because it is equal to n+sod(n) for n = 234023394 and 234023403.
It is a congruent number.
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 7 ways as a sum of consecutive naturals, for example, 231432 + ... + 232440.
It is an arithmetic number, because the mean of its divisors is an integer number (7852548).
Almost surely, 2234023424 is an apocalyptic number.
234023424 is a gapful number since it is divisible by the number (24) 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 234023424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314101920).
234023424 is an abundant number, since it is smaller than the sum of its proper divisors (394180416).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
234023424 is a wasteful number, since it uses less digits than its factorization.
234023424 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1181 (or 1165 counting only the distinct ones).
The product of its (nonzero) digits is 4608, while the sum is 24.
The square root of 234023424 is about 15297.8241590103. The cubic root of 234023424 is about 616.2445759568.
Adding to 234023424 its reverse (424320432), we get a palindrome (658343856).
The spelling of 234023424 in words is "two hundred thirty-four million, twenty-three thousand, four hundred twenty-four".
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