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327981 = 31759109
BaseRepresentation
bin1010000000100101101
3121122220110
41100010231
540443411
611010233
72534133
oct1200455
9548813
10327981
11204465
12139979
13b6394
1487753
15672a6
hex5012d

327981 has 16 divisors (see below), whose sum is σ = 475200. Its totient is φ = 200448.

The previous prime is 327979. The next prime is 327983. The reversal of 327981 is 189723.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (327979) and next prime (327983).

It is not a de Polignac number, because 327981 - 21 = 327979 is a prime.

It is a super-2 number, since 2×3279812 = 215143072722, which contains 22 as substring.

327981 is a modest number, since divided by 981 gives 327 as remainder.

It is a nialpdrome in base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 327981.

It is not an unprimeable number, because it can be changed into a prime (327983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2955 + ... + 3063.

It is an arithmetic number, because the mean of its divisors is an integer number (29700).

2327981 is an apocalyptic number.

It is an amenable number.

327981 is a deficient number, since it is larger than the sum of its proper divisors (147219).

327981 is a wasteful number, since it uses less digits than its factorization.

327981 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188.

The product of its digits is 3024, while the sum is 30.

The square root of 327981 is about 572.6962545713. The cubic root of 327981 is about 68.9630131533.

The spelling of 327981 in words is "three hundred twenty-seven thousand, nine hundred eighty-one".

Divisors: 1 3 17 51 59 109 177 327 1003 1853 3009 5559 6431 19293 109327 327981