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243320 = 23571179
BaseRepresentation
bin111011011001111000
3110100202212
4323121320
530241240
65114252
72032250
oct733170
9410685
10243320
111568a0
12b8988
138699c
1464960
154c165
hex3b678

243320 has 64 divisors (see below), whose sum is σ = 691200. Its totient is φ = 74880.

The previous prime is 243311. The next prime is 243343. The reversal of 243320 is 23342.

243320 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 (14).

It is a junction number, because it is equal to n+sod(n) for n = 243295 and 243304.

It is a congruent number.

It is an unprimeable number.

243320 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3041 + ... + 3119.

It is an arithmetic number, because the mean of its divisors is an integer number (10800).

2243320 is an apocalyptic number.

243320 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 243320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345600).

243320 is an abundant number, since it is smaller than the sum of its proper divisors (447880).

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

243320 is a wasteful number, since it uses less digits than its factorization.

243320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 104 counting only the distinct ones).

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

The square root of 243320 is about 493.2747712989. The cubic root of 243320 is about 62.4298947267.

Adding to 243320 its reverse (23342), we get a palindrome (266662).

The spelling of 243320 in words is "two hundred forty-three thousand, three hundred twenty", and thus it is an iban number.

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 79 88 110 140 154 158 220 280 308 316 385 395 440 553 616 632 770 790 869 1106 1540 1580 1738 2212 2765 3080 3160 3476 4345 4424 5530 6083 6952 8690 11060 12166 17380 22120 24332 30415 34760 48664 60830 121660 243320