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21123344 = 2411257467
BaseRepresentation
bin101000010010…
…1000100010000
31110202011210002
41100211010100
520401421334
62032425132
7344355044
oct120450420
943664702
1021123344
1110a18310
1270a81a8
1344b7828
142b3c024
151cc3b7e
hex1425110

21123344 has 40 divisors (see below), whose sum is σ = 44916768. Its totient is φ = 9543680.

The previous prime is 21123331. The next prime is 21123359. The reversal of 21123344 is 44332112.

It is a super-3 number, since 3×211233443 (a number of 23 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44999 + ... + 45465.

Almost surely, 221123344 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 21123344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22458384).

21123344 is an abundant number, since it is smaller than the sum of its proper divisors (23793424).

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

21123344 is a wasteful number, since it uses less digits than its factorization.

21123344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 737 counting only the distinct ones).

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

The square root of 21123344 is about 4596.0139251312. The cubic root of 21123344 is about 276.4315171018.

Adding to 21123344 its reverse (44332112), we get a palindrome (65455456).

The spelling of 21123344 in words is "twenty-one million, one hundred twenty-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 257 467 514 934 1028 1868 2056 2827 3736 4112 5137 5654 7472 10274 11308 20548 22616 41096 45232 82192 120019 240038 480076 960152 1320209 1920304 2640418 5280836 10561672 21123344