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21393344 = 26717532
BaseRepresentation
bin101000110011…
…0111111000000
31111020220011002
41101212333000
520434041334
62042311132
7346561160
oct121467700
944226132
1021393344
1111092155
1271b84a8
1345806ab
142bac5a0
151d28b7e
hex1466fc0

21393344 has 84 divisors (see below), whose sum is σ = 52358544. Its totient is φ = 8466432.

The previous prime is 21393313. The next prime is 21393367. The reversal of 21393344 is 44339312.

21393344 = T152 + T153 + ... + T508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 403622 + ... + 403674.

It is an arithmetic number, because the mean of its divisors is an integer number (623316).

Almost surely, 221393344 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 21393344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26179272).

21393344 is an abundant number, since it is smaller than the sum of its proper divisors (30965200).

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

21393344 is an equidigital number, since it uses as much as digits as its factorization.

21393344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 79 counting only the distinct ones).

The product of its digits is 7776, while the sum is 29.

The square root of 21393344 is about 4625.2939366055. The cubic root of 21393344 is about 277.6043229761.

The spelling of 21393344 in words is "twenty-one million, three hundred ninety-three thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 53 56 64 68 106 112 119 136 212 224 238 272 371 424 448 476 544 742 848 901 952 1088 1484 1696 1802 1904 2809 2968 3392 3604 3808 5618 5936 6307 7208 7616 11236 11872 12614 14416 19663 22472 23744 25228 28832 39326 44944 47753 50456 57664 78652 89888 95506 100912 157304 179776 191012 201824 314608 334271 382024 403648 629216 668542 764048 1258432 1337084 1528096 2674168 3056192 5348336 10696672 21393344