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21434472 = 23324153137
BaseRepresentation
bin101000111000…
…1000001101000
31111022222120100
41101301001220
520441400342
62043225400
7350122113
oct121610150
944288510
1021434472
1111110044
127218260
134596327
142bbd57a
151d35e4c
hex1471068

21434472 has 96 divisors (see below), whose sum is σ = 61031880. Its totient is φ = 6789120.

The previous prime is 21434471. The next prime is 21434531. The reversal of 21434472 is 27443412.

21434472 is a `hidden beast` number, since 214 + 3 + 447 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16208676 + 5225796 = 4026^2 + 2286^2 .

It is a zygodrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (21434471) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 156388 + ... + 156524.

Almost surely, 221434472 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 21434472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30515940).

21434472 is an abundant number, since it is smaller than the sum of its proper divisors (39597408).

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

21434472 is a wasteful number, since it uses less digits than its factorization.

21434472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 236 counting only the distinct ones).

The product of its digits is 5376, while the sum is 27.

The square root of 21434472 is about 4629.7377895514. The cubic root of 21434472 is about 277.7821041578.

Adding to 21434472 its reverse (27443412), we get a palindrome (48877884).

The spelling of 21434472 in words is "twenty-one million, four hundred thirty-four thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 53 72 82 106 123 137 159 164 212 246 274 318 328 369 411 424 477 492 548 636 738 822 954 984 1096 1233 1272 1476 1644 1908 2173 2466 2952 3288 3816 4346 4932 5617 6519 7261 8692 9864 11234 13038 14522 16851 17384 19557 21783 22468 26076 29044 33702 39114 43566 44936 50553 52152 58088 65349 67404 78228 87132 101106 130698 134808 156456 174264 202212 261396 297701 404424 522792 595402 893103 1190804 1786206 2381608 2679309 3572412 5358618 7144824 10717236 21434472