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234300 = 223521171
BaseRepresentation
bin111001001100111100
3102220101210
4321030330
524444200
65004420
71664043
oct711474
9386353
10234300
11150040
12b3710
1382851
146155a
1549650
hex3933c

234300 has 72 divisors (see below), whose sum is σ = 749952. Its totient is φ = 56000.

The previous prime is 234293. The next prime is 234317. The reversal of 234300 is 3432.

234300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

234300 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, 3265 + ... + 3335.

It is an arithmetic number, because the mean of its divisors is an integer number (10416).

2234300 is an apocalyptic number.

234300 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 234300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374976).

234300 is an abundant number, since it is smaller than the sum of its proper divisors (515652).

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

234300 is a wasteful number, since it uses less digits than its factorization.

234300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 234300 is about 484.0454524112. The cubic root of 234300 is about 61.6487245911.

Adding to 234300 its reverse (3432), we get a palindrome (237732).

The spelling of 234300 in words is "two hundred thirty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 71 75 100 110 132 142 150 165 213 220 275 284 300 330 355 426 550 660 710 781 825 852 1065 1100 1420 1562 1650 1775 2130 2343 3124 3300 3550 3905 4260 4686 5325 7100 7810 9372 10650 11715 15620 19525 21300 23430 39050 46860 58575 78100 117150 234300