Search a number
-
+
304331034144 = 2533170114939
BaseRepresentation
bin1000110110110111000…
…10110000111000100000
31002002112100112100200010
410123123202300320200
514441232221043034
6351450250124520
730662415052134
oct4333342607040
91062470470603
10304331034144
1110807aa31365
124ab93a20740
13229101c59c7
1410a304273c4
157db2a233e9
hex46db8b0e20

304331034144 has 24 divisors (see below), whose sum is σ = 798868964880. Its totient is φ = 101443678016.

The previous prime is 304331034113. The next prime is 304331034179. The reversal of 304331034144 is 441430133403.

304331034144 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1585057374 + ... + 1585057565.

It is an arithmetic number, because the mean of its divisors is an integer number (33286206870).

Almost surely, 2304331034144 is an apocalyptic number.

It is an amenable number.

304331034144 is an abundant number, since it is smaller than the sum of its proper divisors (494537930736).

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

304331034144 is a wasteful number, since it uses less digits than its factorization.

304331034144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3170114952 (or 3170114944 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 304331034144 its reverse (441430133403), we get a palindrome (745761167547).

The spelling of 304331034144 in words is "three hundred four billion, three hundred thirty-one million, thirty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 3170114939 6340229878 9510344817 12680459756 19020689634 25360919512 38041379268 50721839024 76082758536 101443678048 152165517072 304331034144