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234324 = 223223283
BaseRepresentation
bin111001001101010100
3102220102200
4321031110
524444244
65004500
71664106
oct711524
9386380
10234324
11150062
12b3730
138286c
1461576
1549669
hex39354

234324 has 36 divisors (see below), whose sum is σ = 620256. Its totient is φ = 74448.

The previous prime is 234323. The next prime is 234331. The reversal of 234324 is 423432.

234324 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 234297 and 234306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234323) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 687 + ... + 969.

2234324 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 234324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310128).

234324 is an abundant number, since it is smaller than the sum of its proper divisors (385932).

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

234324 is a wasteful number, since it uses less digits than its factorization.

234324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 311 counting only the distinct ones).

The product of its digits is 576, while the sum is 18.

The square root of 234324 is about 484.0702428367. The cubic root of 234324 is about 61.6508294693.

Adding to 234324 its reverse (423432), we get a palindrome (657756).

It can be divided in two parts, 23432 and 4, that added together give a triangular number (23436 = T216).

The spelling of 234324 in words is "two hundred thirty-four thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 283 414 566 828 849 1132 1698 2547 3396 5094 6509 10188 13018 19527 26036 39054 58581 78108 117162 234324