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24301380321 = 34173212
BaseRepresentation
bin10110101000011110…
…011010001011100001
32022201121100000210000
4112220132122023201
5344232123132241
615055222530213
71520132216211
oct265036321341
968647300700
1024301380321
11a34054a799
124862596969
1323a388b4aa
14126768c241
159736c3eb6
hex5a879a2e1

24301380321 has 15 divisors (see below), whose sum is σ = 36304157923. Its totient is φ = 16199984880.

The previous prime is 24301380281. The next prime is 24301380391. The reversal of 24301380321 is 12308310342.

The square root of 24301380321 is 155889.

It is a perfect power (a square), and thus also a powerful number.

24301380321 is a `hidden beast` number, since 2 + 4 + 301 + 38 + 0 + 321 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6750429921 + 17550950400 = 82161^2 + 132480^2 .

It is not a de Polignac number, because 24301380321 - 27 = 24301380193 is a prime.

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

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (24301380391) 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 14 ways as a sum of consecutive naturals, for example, 1394341 + ... + 1411661.

Almost surely, 224301380321 is an apocalyptic number.

24301380321 is the 155889-th square number.

24301380321 is the 77945-th centered octagonal number.

It is an amenable number.

24301380321 is a deficient number, since it is larger than the sum of its proper divisors (12002777602).

24301380321 is an frugal number, since it uses more digits than its factorization.

24301380321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34654 (or 17324 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 24301380321 its reverse (12308310342), we get a palindrome (36609690663).

The spelling of 24301380321 in words is "twenty-four billion, three hundred one million, three hundred eighty thousand, three hundred twenty-one".

Divisors: 1 3 9 27 81 17321 51963 155889 467667 1403001 300017041 900051123 2700153369 8100460107 24301380321