Search a number
-
+
24403440324 = 223194313119001
BaseRepresentation
bin10110101110100011…
…101111001011000100
32022222201101012210010
4112232203233023010
5344434240042244
615113310230220
71522511551224
oct265643571304
968881335703
1024403440324
11a3931189aa
1248907b5370
1323bba73823
141277058084
1597c633eb9
hex5ae8ef2c4

24403440324 has 96 divisors (see below), whose sum is σ = 61803624960. Its totient is φ = 7469280000.

The previous prime is 24403440307. The next prime is 24403440349. The reversal of 24403440324 is 42304430442.

It is a junction number, because it is equal to n+sod(n) for n = 24403440291 and 24403440300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1274824 + ... + 1293824.

It is an arithmetic number, because the mean of its divisors is an integer number (643787760).

Almost surely, 224403440324 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 24403440324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30901812480).

24403440324 is an abundant number, since it is smaller than the sum of its proper divisors (37400184636).

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

24403440324 is a wasteful number, since it uses less digits than its factorization.

24403440324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19201 (or 19199 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 24403440324 its reverse (42304430442), we get a palindrome (66707870766).

The spelling of 24403440324 in words is "twenty-four billion, four hundred three million, four hundred forty thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 19 38 43 57 76 86 114 129 131 172 228 258 262 393 516 524 786 817 1572 1634 2451 2489 3268 4902 4978 5633 7467 9804 9956 11266 14934 16899 19001 22532 29868 33798 38002 57003 67596 76004 107027 114006 214054 228012 321081 361019 428108 642162 722038 817043 1083057 1284324 1444076 1634086 2166114 2451129 2489131 3268172 4332228 4902258 4978262 7467393 9804516 9956524 14934786 15523817 29869572 31047634 46571451 47293489 62095268 93142902 94586978 107032633 141880467 186285804 189173956 214065266 283760934 321097899 428130532 567521868 642195798 1284391596 2033620027 4067240054 6100860081 8134480108 12201720162 24403440324