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828234 = 232114789
BaseRepresentation
bin11001010001101001010
31120002010100
43022031022
5203000414
625430230
710016451
oct3121512
91502110
10828234
115162a0
1233b376
1322cca4
14177b98
15115609
hexca34a

828234 has 48 divisors (see below), whose sum is σ = 2021760. Its totient is φ = 242880.

The previous prime is 828221. The next prime is 828239. The reversal of 828234 is 432828.

It is a junction number, because it is equal to n+sod(n) for n = 828198 and 828207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828239) by changing a digit.

828234 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9262 + ... + 9350.

It is an arithmetic number, because the mean of its divisors is an integer number (42120).

2828234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 828234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1010880).

828234 is an abundant number, since it is smaller than the sum of its proper divisors (1193526).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

828234 is a wasteful number, since it uses less digits than its factorization.

828234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 152 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 828234 is about 910.0736233954. The cubic root of 828234 is about 93.9112637769.

The spelling of 828234 in words is "eight hundred twenty-eight thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 33 47 66 89 94 99 141 178 198 267 282 423 517 534 801 846 979 1034 1551 1602 1958 2937 3102 4183 4653 5874 8366 8811 9306 12549 17622 25098 37647 46013 75294 92026 138039 276078 414117 828234