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327376 = 2473779
BaseRepresentation
bin1001111111011010000
3121122002001
41033323100
540434001
611003344
72532310
oct1177320
9548061
10327376
11203a65
12139554
13b601a
1487440
1567001
hex4fed0

327376 has 40 divisors (see below), whose sum is σ = 753920. Its totient is φ = 134784.

The previous prime is 327347. The next prime is 327401. The reversal of 327376 is 673723.

327376 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 (28).

It is a nialpdrome in base 14.

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

327376 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 7 ways as a sum of consecutive naturals, for example, 4105 + ... + 4183.

It is an arithmetic number, because the mean of its divisors is an integer number (18848).

2327376 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 327376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376960).

327376 is an abundant number, since it is smaller than the sum of its proper divisors (426544).

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

327376 is a wasteful number, since it uses less digits than its factorization.

327376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 125 counting only the distinct ones).

The product of its digits is 5292, while the sum is 28.

The square root of 327376 is about 572.1678075530. The cubic root of 327376 is about 68.9205835579.

It can be divided in two parts, 327 and 376, that added together give a triangular number (703 = T37).

The spelling of 327376 in words is "three hundred twenty-seven thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 37 56 74 79 112 148 158 259 296 316 518 553 592 632 1036 1106 1264 2072 2212 2923 4144 4424 5846 8848 11692 20461 23384 40922 46768 81844 163688 327376