Search a number
-
+
300424 = 2317472
BaseRepresentation
bin1001001010110001000
3120021002211
41021112020
534103144
610234504
72360605
oct1112610
9507084
10300424
11195793
12125a34
13a6987
147b6ac
155e034
hex49588

300424 has 24 divisors (see below), whose sum is σ = 609390. Its totient is φ = 138368.

The previous prime is 300413. The next prime is 300427. The reversal of 300424 is 424003.

300424 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 220900 + 79524 = 470^2 + 282^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (300427) by changing a digit.

300424 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 5 ways as a sum of consecutive naturals, for example, 6369 + ... + 6415.

2300424 is an apocalyptic number.

300424 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

300424 is an abundant number, since it is smaller than the sum of its proper divisors (308966).

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

300424 is a wasteful number, since it uses less digits than its factorization.

300424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 300424 is about 548.1094781155. The cubic root of 300424 is about 66.9748178922.

Adding to 300424 its reverse (424003), we get a palindrome (724427).

The spelling of 300424 in words is "three hundred thousand, four hundred twenty-four", and thus it is an iban number.

Divisors: 1 2 4 8 17 34 47 68 94 136 188 376 799 1598 2209 3196 4418 6392 8836 17672 37553 75106 150212 300424