Search a number
-
+
328848 = 243131731
BaseRepresentation
bin1010000010010010000
3121201002120
41100102100
541010343
611014240
72536512
oct1202220
9551076
10328848
11205083
1213a380
13b68b0
1487bb2
1567683
hex50490

328848 has 80 divisors (see below), whose sum is σ = 999936. Its totient is φ = 92160.

The previous prime is 328847. The next prime is 328849. The reversal of 328848 is 848823.

It can be divided in two parts, 328 and 848, that added together give a triangular number (1176 = T48).

328848 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (328847) and next prime (328849).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10593 + ... + 10623.

2328848 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 328848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499968).

328848 is an abundant number, since it is smaller than the sum of its proper divisors (671088).

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

328848 is a wasteful number, since it uses less digits than its factorization.

328848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 66 counting only the distinct ones).

The product of its digits is 12288, while the sum is 33.

The square root of 328848 is about 573.4527007522. The cubic root of 328848 is about 69.0237263501.

The spelling of 328848 in words is "three hundred twenty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 31 34 39 48 51 52 62 68 78 93 102 104 124 136 156 186 204 208 221 248 272 312 372 403 408 442 496 527 624 663 744 806 816 884 1054 1209 1326 1488 1581 1612 1768 2108 2418 2652 3162 3224 3536 4216 4836 5304 6324 6448 6851 8432 9672 10608 12648 13702 19344 20553 25296 27404 41106 54808 82212 109616 164424 328848