Search a number
-
+
304513553344 = 26711138115861
BaseRepresentation
bin1000110111001100110…
…11000001001111000000
31002010000001222021221111
410123212123001033000
514442120432201334
6351520330133104
731000062332110
oct4334633011700
91063001867844
10304513553344
11108163a64780
124b024b81194
132293bc6c430
1410a4a779040
157dc3a78064
hex46e66c13c0

304513553344 has 224 divisors, whose sum is σ = 812465321472. Its totient is φ = 109361664000.

The previous prime is 304513553297. The next prime is 304513553359. The reversal of 304513553344 is 443355315403.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 304513553297 and 304513553306.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 51952974 + ... + 51958834.

It is an arithmetic number, because the mean of its divisors is an integer number (3627077328).

Almost surely, 2304513553344 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 304513553344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406232660736).

304513553344 is an abundant number, since it is smaller than the sum of its proper divisors (507951768128).

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

304513553344 is a wasteful number, since it uses less digits than its factorization.

304513553344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6715 (or 6705 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 40.

Adding to 304513553344 its reverse (443355315403), we get a palindrome (747868868747).

The spelling of 304513553344 in words is "three hundred four billion, five hundred thirteen million, five hundred fifty-three thousand, three hundred forty-four".