Search a number
-
+
304120032 = 2533167917
BaseRepresentation
bin10010001000001…
…000000011100000
3210012020220020220
4102020020003200
51110323320112
650102203040
710351656216
oct2210100340
9705226226
10304120032
11146738977
1285a23480
134b0111a8
142c566cb6
151ba7498c
hex122080e0

304120032 has 24 divisors (see below), whose sum is σ = 798315336. Its totient is φ = 101373312.

The previous prime is 304120027. The next prime is 304120039. The reversal of 304120032 is 230021403.

It is a tau number, because it is divible by the number of its divisors (24).

It is a junction number, because it is equal to n+sod(n) for n = 304119993 and 304120020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (304120039) 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 3 ways as a sum of consecutive naturals, for example, 1583863 + ... + 1584054.

It is an arithmetic number, because the mean of its divisors is an integer number (33263139).

Almost surely, 2304120032 is an apocalyptic number.

304120032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

304120032 is an abundant number, since it is smaller than the sum of its proper divisors (494195304).

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

304120032 is a wasteful number, since it uses less digits than its factorization.

304120032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3167930 (or 3167922 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 304120032 is about 17439.0375881240. The cubic root of 304120032 is about 672.4835663448.

Adding to 304120032 its reverse (230021403), we get a palindrome (534141435).

The spelling of 304120032 in words is "three hundred four million, one hundred twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 3167917 6335834 9503751 12671668 19007502 25343336 38015004 50686672 76030008 101373344 152060016 304120032