Search a number
-
+
2432334044 = 227438922699
BaseRepresentation
bin1001000011111010…
…0111100011011100
320021111212101001002
42100332213203130
514440134142134
61041205205432
7114163332620
oct22076474334
96244771032
102432334044
111038a97628
1257a700878
132c9bca11a
14191079180
15e381187e
hex90fa78dc

2432334044 has 48 divisors (see below), whose sum is σ = 5033952000. Its totient is φ = 1006701696.

The previous prime is 2432334029. The next prime is 2432334049. The reversal of 2432334044 is 4404332342.

It is a junction number, because it is equal to n+sod(n) for n = 2432333998 and 2432334016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2432334049) 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 15 ways as a sum of consecutive naturals, for example, 95807 + ... + 118505.

It is an arithmetic number, because the mean of its divisors is an integer number (104874000).

Almost surely, 22432334044 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 2432334044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2516976000).

2432334044 is an abundant number, since it is smaller than the sum of its proper divisors (2601617956).

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

2432334044 is a wasteful number, since it uses less digits than its factorization.

2432334044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22842 (or 22840 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 29.

The square root of 2432334044 is about 49318.6987257369. The cubic root of 2432334044 is about 1344.8517304991.

Adding to 2432334044 its reverse (4404332342), we get a palindrome (6836666386).

The spelling of 2432334044 in words is "two billion, four hundred thirty-two million, three hundred thirty-four thousand, forty-four".

Divisors: 1 2 4 7 14 28 43 86 89 172 178 301 356 602 623 1204 1246 2492 3827 7654 15308 22699 26789 45398 53578 90796 107156 158893 317786 635572 976057 1952114 2020211 3904228 4040422 6832399 8080844 13664798 14141477 27329596 28282954 56565908 86869073 173738146 347476292 608083511 1216167022 2432334044