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21677344 = 2513107487
BaseRepresentation
bin101001010110…
…0010100100000
31111210022201121
41102230110200
521022133334
62052342024
7352153153
oct122542440
944708647
1021677344
1111266567
127314914
13464ca40
142c43c9a
151d82db4
hex14ac520

21677344 has 48 divisors (see below), whose sum is σ = 46484928. Its totient is φ = 9891072.

The previous prime is 21677333. The next prime is 21677353. The reversal of 21677344 is 44377612.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44269 + ... + 44755.

It is an arithmetic number, because the mean of its divisors is an integer number (968436).

Almost surely, 221677344 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 21677344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23242464).

21677344 is an abundant number, since it is smaller than the sum of its proper divisors (24807584).

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

21677344 is a wasteful number, since it uses less digits than its factorization.

21677344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 609 counting only the distinct ones).

The product of its digits is 28224, while the sum is 34.

The square root of 21677344 is about 4655.8934695717. The cubic root of 21677344 is about 278.8273405751.

The spelling of 21677344 in words is "twenty-one million, six hundred seventy-seven thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 107 208 214 416 428 487 856 974 1391 1712 1948 2782 3424 3896 5564 6331 7792 11128 12662 15584 22256 25324 44512 50648 52109 101296 104218 202592 208436 416872 677417 833744 1354834 1667488 2709668 5419336 10838672 21677344