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21944304 = 243379643
BaseRepresentation
bin101001110110…
…1011111110000
31112021212221000
41103231133300
521104204204
62102202000
7354344364
oct123553760
945255830
1021944304
1111429098
127423300
1347143c5
142cb32a4
151dd7039
hex14ed7f0

21944304 has 80 divisors (see below), whose sum is σ = 63884800. Its totient is φ = 7210944.

The previous prime is 21944303. The next prime is 21944333. The reversal of 21944304 is 40344912.

21944304 is a `hidden beast` number, since 219 + 443 + 0 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21944303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33807 + ... + 34449.

It is an arithmetic number, because the mean of its divisors is an integer number (798560).

Almost surely, 221944304 is an apocalyptic number.

21944304 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 21944304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31942400).

21944304 is an abundant number, since it is smaller than the sum of its proper divisors (41940496).

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

21944304 is a wasteful number, since it uses less digits than its factorization.

21944304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 727 counting only the distinct ones).

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

The square root of 21944304 is about 4684.4747837938. The cubic root of 21944304 is about 279.9672750870.

The spelling of 21944304 in words is "twenty-one million, nine hundred forty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 79 108 144 158 216 237 316 432 474 632 643 711 948 1264 1286 1422 1896 1929 2133 2572 2844 3792 3858 4266 5144 5688 5787 7716 8532 10288 11376 11574 15432 17064 17361 23148 30864 34128 34722 46296 50797 69444 92592 101594 138888 152391 203188 277776 304782 406376 457173 609564 812752 914346 1219128 1371519 1828692 2438256 2743038 3657384 5486076 7314768 10972152 21944304