Search a number
-
+
3085324128 = 253341251347
BaseRepresentation
bin1011011111100110…
…0100111101100000
321222000120201001000
42313321210331200
522304320333003
61230053112000
7136312552035
oct26771447540
97860521030
103085324128
111343648757
12721328600
133a228a0a3
14213a9738c
15130cea1a3
hexb7e64f60

3085324128 has 192 divisors, whose sum is σ = 9281744640. Its totient is φ = 996480000.

The previous prime is 3085324103. The next prime is 3085324133. The reversal of 3085324128 is 8214235803.

3085324128 is a `hidden beast` number, since 308 + 5 + 324 + 1 + 28 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3085324092 and 3085324101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8891251 + ... + 8891597.

It is an arithmetic number, because the mean of its divisors is an integer number (48342420).

Almost surely, 23085324128 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 3085324128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4640872320).

3085324128 is an abundant number, since it is smaller than the sum of its proper divisors (6196420512).

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

3085324128 is a wasteful number, since it uses less digits than its factorization.

3085324128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 3085324128 is about 55545.6940545350. The cubic root of 3085324128 is about 1455.7951398366.

The spelling of 3085324128 in words is "three billion, eighty-five million, three hundred twenty-four thousand, one hundred twenty-eight".