Search a number
-
+
30334102344 = 233371310314983
BaseRepresentation
bin11100010000000011…
…011010101101001000
32220022000222001122000
4130100003122231020
5444111012233334
621534005031000
72122464421110
oct342003325510
986260861560
1030334102344
11119568a0077
125a669b5460
132b256731b0
14167a978040
15bc8122299
hex7100dab48

30334102344 has 256 divisors, whose sum is σ = 104720179200. Its totient is φ = 7922002176.

The previous prime is 30334102333. The next prime is 30334102349. The reversal of 30334102344 is 44320143303.

30334102344 is a `hidden beast` number, since 303 + 3 + 4 + 10 + 2 + 344 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (30334102349) 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, 2017077 + ... + 2032059.

It is an arithmetic number, because the mean of its divisors is an integer number (409063200).

Almost surely, 230334102344 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 30334102344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52360089600).

30334102344 is an abundant number, since it is smaller than the sum of its proper divisors (74386076856).

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

30334102344 is a wasteful number, since it uses less digits than its factorization.

30334102344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15121 (or 15111 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 30334102344 its reverse (44320143303), we get a palindrome (74654245647).

The spelling of 30334102344 in words is "thirty billion, three hundred thirty-four million, one hundred two thousand, three hundred forty-four".