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327684 = 22374783
BaseRepresentation
bin1010000000000000100
3121122111110
41100000010
540441214
611005020
72533230
oct1200004
9548443
10327684
11204215
12139770
13b61c6
14875c0
1567159
hex50004

327684 has 48 divisors (see below), whose sum is σ = 903168. Its totient is φ = 90528.

The previous prime is 327673. The next prime is 327689. The reversal of 327684 is 486723.

Its product of digits (8064) is a multiple of the sum of its prime factors (144).

It is not an unprimeable number, because it can be changed into a prime (327689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3907 + ... + 3989.

It is an arithmetic number, because the mean of its divisors is an integer number (18816).

2327684 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 327684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451584).

327684 is an abundant number, since it is smaller than the sum of its proper divisors (575484).

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

327684 is a wasteful number, since it uses less digits than its factorization.

327684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 142 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 327684 is about 572.4368960855. The cubic root of 327684 is about 68.9421906052.

It can be divided in two parts, 32768 and 4, that multiplied together give a 17-th power (131072 = 217).

The spelling of 327684 in words is "three hundred twenty-seven thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 47 83 84 94 141 166 188 249 282 329 332 498 564 581 658 987 996 1162 1316 1743 1974 2324 3486 3901 3948 6972 7802 11703 15604 23406 27307 46812 54614 81921 109228 163842 327684