Search a number
-
+
3048328080 = 24375719131
BaseRepresentation
bin1011010110110001…
…1100101110010000
321212102222010000000
42311230130232100
522220332444310
61222252130000
7135353234610
oct26554345620
97772863000
103048328080
11132477a006
12710a66900
13397705935
1420cbc6a40
1512c93d4c0
hexb5b1cb90

3048328080 has 640 divisors, whose sum is σ = 12884889600. Its totient is φ = 655050240.

The previous prime is 3048328079. The next prime is 3048328169. The reversal of 3048328080 is 808238403.

It is a happy number.

3048328080 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23269615 + ... + 23269745.

It is an arithmetic number, because the mean of its divisors is an integer number (20132640).

Almost surely, 23048328080 is an apocalyptic number.

3048328080 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 3048328080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6442444800).

3048328080 is an abundant number, since it is smaller than the sum of its proper divisors (9836561520).

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

3048328080 is a wasteful number, since it uses less digits than its factorization.

3048328080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 3048328080 is about 55211.6661585212. Note that the first 3 decimals coincide. The cubic root of 3048328080 is about 1449.9529243535.

Adding to 3048328080 its product of nonzero digits (36864), we get a square (3048364944 = 552122).

The spelling of 3048328080 in words is "three billion, forty-eight million, three hundred twenty-eight thousand, eighty".