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328380 = 223513421
BaseRepresentation
bin1010000001010111100
3121200110020
41100022330
541002010
611012140
72535243
oct1201274
9550406
10328380
11204798
1213a050
13b6610
148795a
1567470
hex502bc

328380 has 48 divisors (see below), whose sum is σ = 992544. Its totient is φ = 80640.

The previous prime is 328379. The next prime is 328381. The reversal of 328380 is 83823.

It is an interprime number because it is at equal distance from previous prime (328379) and next prime (328381).

It is a nialpdrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 328380.

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 328380.

It is not an unprimeable number, because it can be changed into a prime (328381) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 570 + ... + 990.

It is an arithmetic number, because the mean of its divisors is an integer number (20678).

2328380 is an apocalyptic number.

328380 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 328380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496272).

328380 is an abundant number, since it is smaller than the sum of its proper divisors (664164).

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

328380 is a wasteful number, since it uses less digits than its factorization.

328380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 328380 is about 573.0445008898. The cubic root of 328380 is about 68.9909671015.

The spelling of 328380 in words is "three hundred twenty-eight thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 421 780 842 1263 1684 2105 2526 4210 5052 5473 6315 8420 10946 12630 16419 21892 25260 27365 32838 54730 65676 82095 109460 164190 328380