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21442344 = 23371141283
BaseRepresentation
bin101000111001…
…0111100101000
31111100101100220
41101302330220
520442123334
62043330040
7350154060
oct121627450
944311326
1021442344
1111115a50
127220920
134599aa1
142bc23a0
151d38449
hex1472f28

21442344 has 128 divisors (see below), whose sum is σ = 68705280. Its totient is φ = 5414400.

The previous prime is 21442331. The next prime is 21442349. The reversal of 21442344 is 44324412.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (21442349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75627 + ... + 75909.

It is an arithmetic number, because the mean of its divisors is an integer number (536760).

Almost surely, 221442344 is an apocalyptic number.

21442344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21442344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34352640).

21442344 is an abundant number, since it is smaller than the sum of its proper divisors (47262936).

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

21442344 is a wasteful number, since it uses less digits than its factorization.

21442344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 347 counting only the distinct ones).

The product of its digits is 3072, while the sum is 24.

The square root of 21442344 is about 4630.5878676470. The cubic root of 21442344 is about 277.8161059764.

Adding to 21442344 its reverse (44324412), we get a palindrome (65766756).

The spelling of 21442344 in words is "twenty-one million, four hundred forty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 41 42 44 56 66 77 82 84 88 123 132 154 164 168 231 246 264 283 287 308 328 451 462 492 566 574 616 849 861 902 924 984 1132 1148 1353 1698 1722 1804 1848 1981 2264 2296 2706 3113 3157 3396 3444 3608 3962 5412 5943 6226 6314 6792 6888 7924 9339 9471 10824 11603 11886 12452 12628 15848 18678 18942 21791 23206 23772 24904 25256 34809 37356 37884 43582 46412 47544 65373 69618 74712 75768 81221 87164 92824 127633 130746 139236 162442 174328 243663 255266 261492 278472 324884 382899 487326 510532 522984 649768 765798 893431 974652 1021064 1531596 1786862 1949304 2680293 3063192 3573724 5360586 7147448 10721172 21442344