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300144 = 24313237
BaseRepresentation
bin1001001010001110000
3120020201110
41021101300
534101034
610233320
72360025
oct1112160
9506643
10300144
11195559
12125840
13a6800
147b54c
155dde9
hex49470

300144 has 60 divisors (see below), whose sum is σ = 862296. Its totient is φ = 89856.

The previous prime is 300137. The next prime is 300149. The reversal of 300144 is 441003.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 300144.

It is not an unprimeable number, because it can be changed into a prime (300149) by changing a digit.

300144 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 11 ways as a sum of consecutive naturals, for example, 8094 + ... + 8130.

2300144 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 300144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431148).

300144 is an abundant number, since it is smaller than the sum of its proper divisors (562152).

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

300144 is a wasteful number, since it uses less digits than its factorization.

300144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 300144 is about 547.8539951483. The cubic root of 300144 is about 66.9540042221.

Adding to 300144 its reverse (441003), we get a palindrome (741147).

It can be divided in two parts, 300 and 144, that added together give a palindrome (444).

The spelling of 300144 in words is "three hundred thousand, one hundred forty-four", and thus it is an iban number.

Divisors: 1 2 3 4 6 8 12 13 16 24 26 37 39 48 52 74 78 104 111 148 156 169 208 222 296 312 338 444 481 507 592 624 676 888 962 1014 1352 1443 1776 1924 2028 2704 2886 3848 4056 5772 6253 7696 8112 11544 12506 18759 23088 25012 37518 50024 75036 100048 150072 300144