Search a number
-
+
234320 = 24529101
BaseRepresentation
bin111001001101010000
3102220102112
4321031100
524444240
65004452
71664102
oct711520
9386375
10234320
11150059
12b3728
1382868
1461572
1549665
hex39350

234320 has 40 divisors (see below), whose sum is σ = 569160. Its totient is φ = 89600.

The previous prime is 234319. The next prime is 234323. The reversal of 234320 is 23432.

It can be written as a sum of positive squares in 4 ways, for example, as 80656 + 153664 = 284^2 + 392^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 234295 and 234304.

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 7 ways as a sum of consecutive naturals, for example, 2270 + ... + 2370.

It is an arithmetic number, because the mean of its divisors is an integer number (14229).

2234320 is an apocalyptic number.

234320 is a gapful number since it is divisible by the number (20) 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 234320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284580).

234320 is an abundant number, since it is smaller than the sum of its proper divisors (334840).

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

234320 is a wasteful number, since it uses less digits than its factorization.

234320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 234320 is about 484.0661111873. The cubic root of 234320 is about 61.6504786662.

Adding to 234320 its reverse (23432), we get a palindrome (257752).

The spelling of 234320 in words is "two hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 101 116 145 202 232 290 404 464 505 580 808 1010 1160 1616 2020 2320 2929 4040 5858 8080 11716 14645 23432 29290 46864 58580 117160 234320