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327144 = 23343317
BaseRepresentation
bin1001111110111101000
3121121202110
41033313220
540432034
611002320
72531526
oct1176750
9547673
10327144
11203874
121393a0
13b5b9c
1487316
1566de9
hex4fde8

327144 has 32 divisors (see below), whose sum is σ = 839520. Its totient is φ = 106176.

The previous prime is 327133. The next prime is 327163. The reversal of 327144 is 441723.

It is a self number, because there is not a number n which added to its sum of digits gives 327144.

It is an unprimeable number.

327144 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 7 ways as a sum of consecutive naturals, for example, 874 + ... + 1190.

It is an arithmetic number, because the mean of its divisors is an integer number (26235).

2327144 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 327144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419760).

327144 is an abundant number, since it is smaller than the sum of its proper divisors (512376).

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

327144 is a wasteful number, since it uses less digits than its factorization.

327144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 365 counting only the distinct ones).

The product of its digits is 672, while the sum is 21.

The square root of 327144 is about 571.9650338963. The cubic root of 327144 is about 68.9042991694.

Adding to 327144 its reverse (441723), we get a palindrome (768867).

The spelling of 327144 in words is "three hundred twenty-seven thousand, one hundred forty-four", and thus it is an iban number.

Divisors: 1 2 3 4 6 8 12 24 43 86 129 172 258 317 344 516 634 951 1032 1268 1902 2536 3804 7608 13631 27262 40893 54524 81786 109048 163572 327144