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21664344 = 23313233019
BaseRepresentation
bin101001010100…
…1001001011000
31111202122220010
41102221021120
521021224334
62052201520
7352100232
oct122511130
944678803
1021664344
1111257819
1273092a0
134646b50
142c3d252
151d7e0e9
hex14a9258

21664344 has 64 divisors (see below), whose sum is σ = 60883200. Its totient is φ = 6374016.

The previous prime is 21664343. The next prime is 21664361. The reversal of 21664344 is 44346612.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21664343) 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, 5667 + ... + 8685.

It is an arithmetic number, because the mean of its divisors is an integer number (951300).

Almost surely, 221664344 is an apocalyptic number.

21664344 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 21664344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30441600).

21664344 is an abundant number, since it is smaller than the sum of its proper divisors (39218856).

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

21664344 is a wasteful number, since it uses less digits than its factorization.

21664344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3064 (or 3060 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

The square root of 21664344 is about 4654.4971801474. The cubic root of 21664344 is about 278.7715914288.

The spelling of 21664344 in words is "twenty-one million, six hundred sixty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 23 24 26 39 46 52 69 78 92 104 138 156 184 276 299 312 552 598 897 1196 1794 2392 3019 3588 6038 7176 9057 12076 18114 24152 36228 39247 69437 72456 78494 117741 138874 156988 208311 235482 277748 313976 416622 470964 555496 833244 902681 941928 1666488 1805362 2708043 3610724 5416086 7221448 10832172 21664344