Search a number
-
+
304144 = 2419009
BaseRepresentation
bin1001010010000010000
3120110012121
41022100100
534213034
610304024
72404501
oct1122020
9513177
10304144
11198565
12128014
13a8589
147cba8
15601b4
hex4a410

304144 has 10 divisors (see below), whose sum is σ = 589310. Its totient is φ = 152064.

The previous prime is 304127. The next prime is 304151. The reversal of 304144 is 441403.

It can be written as a sum of positive squares in only one way, i.e., 291600 + 12544 = 540^2 + 112^2 .

It is a Harshad number since it is a multiple of its sum of digits (16), and also a Moran number because the ratio is a prime number: 19009 = 304144 / (3 + 0 + 4 + 1 + 4 + 4).

It is an unprimeable number.

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 as a sum of consecutive naturals, namely, 9489 + ... + 9520.

It is an arithmetic number, because the mean of its divisors is an integer number (58931).

2304144 is an apocalyptic number.

It is an amenable number.

304144 is a deficient number, since it is larger than the sum of its proper divisors (285166).

304144 is a wasteful number, since it uses less digits than its factorization.

304144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19017 (or 19011 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 304144 is about 551.4925203482. The cubic root of 304144 is about 67.2501232245.

Adding to 304144 its reverse (441403), we get a palindrome (745547).

The spelling of 304144 in words is "three hundred four thousand, one hundred forty-four", and thus it is an iban number.

Divisors: 1 2 4 8 16 19009 38018 76036 152072 304144