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304048128 = 2113174171
BaseRepresentation
bin10010000111110…
…110100000000000
3210012010020121210
4102013312200000
51110314020003
650100450120
710351236456
oct2207664000
9705106553
10304048128
1114669994a
12859a9940
134acb7547
142c5489d6
151ba5d503
hex121f6800

304048128 has 192 divisors, whose sum is σ = 891596160. Its totient is φ = 91750400.

The previous prime is 304048103. The next prime is 304048159. The reversal of 304048128 is 821840403.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 304048095 and 304048104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4282333 + ... + 4282403.

It is an arithmetic number, because the mean of its divisors is an integer number (4643730).

Almost surely, 2304048128 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 304048128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445798080).

304048128 is an abundant number, since it is smaller than the sum of its proper divisors (587548032).

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

304048128 is a wasteful number, since it uses less digits than its factorization.

304048128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 304048128 is about 17436.9758845965. The cubic root of 304048128 is about 672.4305630735.

The spelling of 304048128 in words is "three hundred four million, forty-eight thousand, one hundred twenty-eight".