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327080 = 235131737
BaseRepresentation
bin1001111110110101000
3121121200002
41033312220
540431310
611002132
72531405
oct1176650
9547602
10327080
11203816
12139348
13b5b50
14872ac
1566da5
hex4fda8

327080 has 64 divisors (see below), whose sum is σ = 861840. Its totient is φ = 110592.

The previous prime is 327079. The next prime is 327127. The reversal of 327080 is 80723.

327080 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 8 ways, for example, as 198916 + 128164 = 446^2 + 358^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable 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 15 ways as a sum of consecutive naturals, for example, 8822 + ... + 8858.

2327080 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 327080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430920).

327080 is an abundant number, since it is smaller than the sum of its proper divisors (534760).

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

327080 is a wasteful number, since it uses less digits than its factorization.

327080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 327080 is about 571.9090836838. The cubic root of 327080 is about 68.8998055695.

The spelling of 327080 in words is "three hundred twenty-seven thousand, eighty".

Divisors: 1 2 4 5 8 10 13 17 20 26 34 37 40 52 65 68 74 85 104 130 136 148 170 185 221 260 296 340 370 442 481 520 629 680 740 884 962 1105 1258 1480 1768 1924 2210 2405 2516 3145 3848 4420 4810 5032 6290 8177 8840 9620 12580 16354 19240 25160 32708 40885 65416 81770 163540 327080