Search a number
-
+
328160 = 2557293
BaseRepresentation
bin1010000000111100000
3121200011002
41100013200
541000120
611011132
72534510
oct1200740
9550132
10328160
11204608
12139aa8
13b64a1
1487840
1567375
hex501e0

328160 has 48 divisors (see below), whose sum is σ = 889056. Its totient is φ = 112128.

The previous prime is 328129. The next prime is 328171. The reversal of 328160 is 61823.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 974 + ... + 1266.

It is an arithmetic number, because the mean of its divisors is an integer number (18522).

2328160 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 328160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444528).

328160 is an abundant number, since it is smaller than the sum of its proper divisors (560896).

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

328160 is a wasteful number, since it uses less digits than its factorization.

328160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 328160 is about 572.8525115595. The cubic root of 328160 is about 68.9755566994.

Adding to 328160 its reverse (61823), we get a palindrome (389983).

It can be divided in two parts, 32 and 8160, that added together give a 13-th power (8192 = 213).

The spelling of 328160 in words is "three hundred twenty-eight thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 293 560 586 1120 1172 1465 2051 2344 2930 4102 4688 5860 8204 9376 10255 11720 16408 20510 23440 32816 41020 46880 65632 82040 164080 328160