Search a number
-
+
30432333204 = 22337133783689
BaseRepresentation
bin11100010101111010…
…001000110110010100
32220112212210201001000
4130111322020312110
5444311134130304
621551434303300
72125066364340
oct342572106624
986485721030
1030432333204
11119a72933a9
125a93887b30
132b3cb17670
141689a28620
15bd1a77939
hex715e88d94

30432333204 has 192 divisors, whose sum is σ = 99731699200. Its totient is φ = 7809094656.

The previous prime is 30432333161. The next prime is 30432333209. The reversal of 30432333204 is 40233323403.

30432333204 is a `hidden beast` number, since 3 + 0 + 4 + 323 + 332 + 0 + 4 = 666.

It is a super-2 number, since 2×304323332042 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30432333209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 321792 + ... + 405480.

Almost surely, 230432333204 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 30432333204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49865849600).

30432333204 is an abundant number, since it is smaller than the sum of its proper divisors (69299365996).

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

30432333204 is a wasteful number, since it uses less digits than its factorization.

30432333204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83759 (or 83751 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 27.

Adding to 30432333204 its reverse (40233323403), we get a palindrome (70665656607).

It can be divided in two parts, 30 and 432333204, that added together give a palindrome (432333234).

The spelling of 30432333204 in words is "thirty billion, four hundred thirty-two million, three hundred thirty-three thousand, two hundred four".