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327240 = 23345101
BaseRepresentation
bin1001111111001001000
3121121220000
41033321020
540432430
611003000
72532024
oct1177110
9547800
10327240
11203951
12139460
13b5c44
1487384
1566e60
hex4fe48

327240 has 80 divisors (see below), whose sum is σ = 1110780. Its totient is φ = 86400.

The previous prime is 327211. The next prime is 327247. The reversal of 327240 is 42723.

It is a happy number.

327240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 311364 + 15876 = 558^2 + 126^2 .

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 327240.

It is not an unprimeable number, because it can be changed into a prime (327247) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3190 + ... + 3290.

2327240 is an apocalyptic number.

327240 is a gapful number since it is divisible by the number (30) 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 327240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555390).

327240 is an abundant number, since it is smaller than the sum of its proper divisors (783540).

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

327240 is a wasteful number, since it uses less digits than its factorization.

327240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 327240 is about 572.0489489545. The cubic root of 327240 is about 68.9110384705.

Adding to 327240 its reverse (42723), we get a palindrome (369963).

The spelling of 327240 in words is "three hundred twenty-seven thousand, two hundred forty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 101 108 120 135 162 180 202 216 270 303 324 360 404 405 505 540 606 648 808 810 909 1010 1080 1212 1515 1620 1818 2020 2424 2727 3030 3240 3636 4040 4545 5454 6060 7272 8181 9090 10908 12120 13635 16362 18180 21816 27270 32724 36360 40905 54540 65448 81810 109080 163620 327240