Search a number
-
+
328050 = 23852
BaseRepresentation
bin1010000000101110010
3121200000000
41100011302
540444200
611010430
72534262
oct1200562
9550000
10328050
11204518
12139a16
13b6418
14877a2
1567300
hex50172

328050 has 54 divisors (see below), whose sum is σ = 915213. Its totient is φ = 87480.

The previous prime is 328043. The next prime is 328051. The reversal of 328050 is 50823.

Multipling 328050 by its sum of digits (18), we get a square (5904900 = 24302).

328050 divided by its sum of digits (18) gives a square (18225 = 1352).

Adding to 328050 its reverse (50823), we get a palindrome (378873).

It can be written as a sum of positive squares in 2 ways, for example, as 321489 + 6561 = 567^2 + 81^2 .

It is a tau number, because it is divible by the number of its divisors (54).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=405.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 9.

It is a zygodrome in base 9.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 328050.

It is not an unprimeable number, because it can be changed into a prime (328051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 65608 + ... + 65612.

328050 is a Friedman number, since it can be written as 50*(3+2*0)^8, using all its digits and the basic arithmetic operations.

2328050 is an apocalyptic number.

328050 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 328050

328050 is an abundant number, since it is smaller than the sum of its proper divisors (587163).

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

328050 is an frugal number, since it uses more digits than its factorization.

328050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 328050 is about 572.7564927611. The cubic root of 328050 is about 68.9678489154.

The spelling of 328050 in words is "three hundred twenty-eight thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 135 150 162 225 243 270 405 450 486 675 729 810 1215 1350 1458 2025 2187 2430 3645 4050 4374 6075 6561 7290 10935 12150 13122 18225 21870 32805 36450 54675 65610 109350 164025 328050