Search a number
-
+
304105052160 = 2113557131779
BaseRepresentation
bin1000110110011100001…
…00101101100000000000
31002001221121022021200000
410123032010231200000
514440301343132120
6351412014400000
730654002202420
oct4331604554000
91061847267600
10304105052160
11107a74412798
124ab30200000
13228a5442560
1410a0c400480
157d9cc85990
hex46ce12d800

304105052160 has 2304 divisors, whose sum is σ = 1442404454400. Its totient is φ = 59624128512.

The previous prime is 304105052123. The next prime is 304105052189. The reversal of 304105052160 is 61250501403.

304105052160 is a `hidden beast` number, since 30 + 4 + 1 + 0 + 50 + 521 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3849431001 + ... + 3849431079.

It is an arithmetic number, because the mean of its divisors is an integer number (626043600).

Almost surely, 2304105052160 is an apocalyptic number.

304105052160 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 304105052160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721202227200).

304105052160 is an abundant number, since it is smaller than the sum of its proper divisors (1138299402240).

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

304105052160 is a wasteful number, since it uses less digits than its factorization.

304105052160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 304105052160 its reverse (61250501403), we get a palindrome (365355553563).

The spelling of 304105052160 in words is "three hundred four billion, one hundred five million, fifty-two thousand, one hundred sixty".