Search a number
-
+
28303734312 = 23337233112617
BaseRepresentation
bin11010010111000010…
…001011011000101000
32201001112110200022000
4122113002023120220
5430431223444222
621000315131000
72021251525560
oct322702133050
981045420260
1028303734312
11110047a1567
12559aa43a60
132890b254a9
141527055da0
15b09c619ac
hex69708b628

28303734312 has 256 divisors, whose sum is σ = 94097203200. Its totient is φ = 7707363840.

The previous prime is 28303734287. The next prime is 28303734317. The reversal of 28303734312 is 21343730382.

28303734312 is a `hidden beast` number, since 2 + 8 + 303 + 7 + 34 + 312 = 666.

It is a super-2 number, since 2×283037343122 (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (28303734317) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10814028 + ... + 10816644.

It is an arithmetic number, because the mean of its divisors is an integer number (367567200).

Almost surely, 228303734312 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 28303734312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47048601600).

28303734312 is an abundant number, since it is smaller than the sum of its proper divisors (65793468888).

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

28303734312 is a wasteful number, since it uses less digits than its factorization.

28303734312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2973 (or 2963 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 28303734312 in words is "twenty-eight billion, three hundred three million, seven hundred thirty-four thousand, three hundred twelve".