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326880 = 25325227
BaseRepresentation
bin1001111110011100000
3121121101200
41033303200
540430010
611001200
72531001
oct1176340
9547350
10326880
11203654
12139200
13b5a28
14871a8
1566cc0
hex4fce0

326880 has 72 divisors (see below), whose sum is σ = 1120392. Its totient is φ = 86784.

The previous prime is 326873. The next prime is 326881. The reversal of 326880 is 88623.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (326881) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1327 + ... + 1553.

It is an arithmetic number, because the mean of its divisors is an integer number (15561).

2326880 is an apocalyptic number.

326880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 326880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560196).

326880 is an abundant number, since it is smaller than the sum of its proper divisors (793512).

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

326880 is a wasteful number, since it uses less digits than its factorization.

326880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 326880 is about 571.7342039794. The cubic root of 326880 is about 68.8857592905.

The spelling of 326880 in words is "three hundred twenty-six thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 227 240 288 360 454 480 681 720 908 1135 1362 1440 1816 2043 2270 2724 3405 3632 4086 4540 5448 6810 7264 8172 9080 10215 10896 13620 16344 18160 20430 21792 27240 32688 36320 40860 54480 65376 81720 108960 163440 326880