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21321344 = 271119797
BaseRepresentation
bin101000101010…
…1011010000000
31111010020101102
41101111122000
520424240334
62040553532
7346141232
oct121253200
944106342
1021321344
1111043050
1271828a8
1345569a5
142b90252
151d1267e
hex1455680

21321344 has 64 divisors (see below), whose sum is σ = 48837600. Its totient is φ = 9169920.

The previous prime is 21321341. The next prime is 21321359. The reversal of 21321344 is 44312312.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (21321341) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26354 + ... + 27150.

Almost surely, 221321344 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 21321344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24418800).

21321344 is an abundant number, since it is smaller than the sum of its proper divisors (27516256).

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

21321344 is a wasteful number, since it uses less digits than its factorization.

21321344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841 (or 829 counting only the distinct ones).

The product of its digits is 576, while the sum is 20.

The square root of 21321344 is about 4617.5040877080. The cubic root of 21321344 is about 277.2925441327.

Adding to 21321344 its reverse (44312312), we get a palindrome (65633656).

The spelling of 21321344 in words is "twenty-one million, three hundred twenty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 76 88 128 152 176 209 304 352 418 608 704 797 836 1216 1408 1594 1672 2432 3188 3344 6376 6688 8767 12752 13376 15143 17534 25504 26752 30286 35068 51008 60572 70136 102016 121144 140272 166573 242288 280544 333146 484576 561088 666292 969152 1122176 1332584 1938304 2665168 5330336 10660672 21321344