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304130112 = 263112131953
BaseRepresentation
bin10010001000001…
…010100001000000
3210012021102002020
4102020022201000
51110324130422
650102321440
710352030466
oct2210124100
9705242066
10304130112
11146745500
1285a29280
134b015960
142c56a836
151ba7795c
hex1220a840

304130112 has 336 divisors, whose sum is σ = 1021567680. Its totient is φ = 79073280.

The previous prime is 304130111. The next prime is 304130147. The reversal of 304130112 is 211031403.

It is a junction number, because it is equal to n+sod(n) for n = 304130091 and 304130100.

It is not an unprimeable number, because it can be changed into a prime (304130111) 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 47 ways as a sum of consecutive naturals, for example, 5738278 + ... + 5738330.

It is an arithmetic number, because the mean of its divisors is an integer number (3040380).

Almost surely, 2304130112 is an apocalyptic number.

304130112 is a gapful number since it is divisible by the number (32) 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 304130112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510783840).

304130112 is an abundant number, since it is smaller than the sum of its proper divisors (717437568).

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

304130112 is a wasteful number, since it uses less digits than its factorization.

304130112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 304130112 is about 17439.3265925035. The cubic root of 304130112 is about 672.4909960422.

Adding to 304130112 its reverse (211031403), we get a palindrome (515161515).

It can be divided in two parts, 3041 and 30112, that added together give a triangular number (33153 = T257).

The spelling of 304130112 in words is "three hundred four million, one hundred thirty thousand, one hundred twelve".