Base | Representation |
---|---|
bin | 11111011010010101011000 |
3 | 120111100101010 |
4 | 133122111120 |
5 | 4101444303 |
6 | 452253520 |
7 | 126663534 |
oct | 37322530 |
9 | 16440333 |
10 | 8234328 |
11 | 4714633 |
12 | 29112a0 |
13 | 1923cab |
14 | 1144bc4 |
15 | ac9c03 |
hex | 7da558 |
8234328 has 64 divisors (see below), whose sum is σ = 21542400. Its totient is φ = 2620800.
The previous prime is 8234321. The next prime is 8234357.
8234328 is nontrivially palindromic in base 10.
It is a super-2 number, since 2×82343282 = 135608315223168, which contains 22 as substring.
It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.
It is a nude number because it is divisible by every one of its digits.
It is an Ulam number.
It is a junction number, because it is equal to n+sod(n) for n = 8234295 and 8234304.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (8234321) 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, 81478 + ... + 81578.
It is an arithmetic number, because the mean of its divisors is an integer number (336600).
Almost surely, 28234328 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 8234328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10771200).
8234328 is an abundant number, since it is smaller than the sum of its proper divisors (13308072).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
8234328 is a wasteful number, since it uses less digits than its factorization.
8234328 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 232 (or 228 counting only the distinct ones).
The product of its digits is 9216, while the sum is 30.
The square root of 8234328 is about 2869.5518813919. The cubic root of 8234328 is about 201.9339718189.
It can be divided in two parts, 823 and 4328, that added together give a triangular number (5151 = T101).
The spelling of 8234328 in words is "eight million, two hundred thirty-four thousand, three hundred twenty-eight".
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