Search a number
-
+
304728 = 23312697
BaseRepresentation
bin1001010011001011000
3120111000020
41022121120
534222403
610310440
72406264
oct1123130
9514006
10304728
11198a46
12128420
13a8918
147d0a4
1560453
hex4a658

304728 has 16 divisors (see below), whose sum is σ = 761880. Its totient is φ = 101568.

The previous prime is 304723. The next prime is 304729. The reversal of 304728 is 827403.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 12697 = 304728 / (3 + 0 + 4 + 7 + 2 + 8).

It is a junction number, because it is equal to n+sod(n) for n = 304698 and 304707.

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 304728.

It is not an unprimeable number, because it can be changed into a prime (304723) by changing a digit.

304728 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6325 + ... + 6372.

2304728 is an apocalyptic number.

It is an amenable number.

304728 is an abundant number, since it is smaller than the sum of its proper divisors (457152).

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

304728 is a wasteful number, since it uses less digits than its factorization.

304728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12706 (or 12702 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 304728 is about 552.0217387024. The cubic root of 304728 is about 67.2931389906.

Subtracting from 304728 its sum of digits (24), we obtain a square (304704 = 5522).

The spelling of 304728 in words is "three hundred four thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 12697 25394 38091 50788 76182 101576 152364 304728