Base | Representation |
---|---|
bin | 11111011010010001110100 |
3 | 120111100001200 |
4 | 133122101310 |
5 | 4101442400 |
6 | 452252500 |
7 | 126663060 |
oct | 37322164 |
9 | 16440050 |
10 | 8234100 |
11 | 4714446 |
12 | 2911130 |
13 | 1923b64 |
14 | 1144aa0 |
15 | ac9b00 |
hex | 7da474 |
8234100 has 108 divisors (see below), whose sum is σ = 29518944. Its totient is φ = 1880640.
The previous prime is 8234089. The next prime is 8234101. The reversal of 8234100 is 14328.
It is a happy number.
It is a super-3 number, since 3×82341003 (a number of 22 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (8234101) 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 35 ways as a sum of consecutive naturals, for example, 5647 + ... + 6953.
Almost surely, 28234100 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 8234100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14759472).
8234100 is an abundant number, since it is smaller than the sum of its proper divisors (21284844).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
8234100 is a wasteful number, since it uses less digits than its factorization.
8234100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1334 (or 1324 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
The square root of 8234100 is about 2869.5121536596. The cubic root of 8234100 is about 201.9321080210.
Adding to 8234100 its reverse (14328), we get a palindrome (8248428).
The spelling of 8234100 in words is "eight million, two hundred thirty-four thousand, one hundred".
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