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20545344 = 263253673
BaseRepresentation
bin100111001011…
…1111101000000
31102122210220200
41032113331000
520224422334
62012205200
7336426651
oct116277500
942583820
1020545344
1110663026
126a69800
134344711
142a2b528
151c0c799
hex1397f40

20545344 has 84 divisors (see below), whose sum is σ = 60089796. Its totient is φ = 6709248.

The previous prime is 20545331. The next prime is 20545363. The reversal of 20545344 is 44354502.

20545344 is a `hidden beast` number, since 205 + 453 + 4 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10810944 + 9734400 = 3288^2 + 3120^2 .

It is a super-2 number, since 2×205453442 = 844222320156672, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30192 + ... + 30864.

Almost surely, 220545344 is an apocalyptic number.

20545344 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 20545344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30044898).

20545344 is an abundant number, since it is smaller than the sum of its proper divisors (39544452).

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

20545344 is a wasteful number, since it uses less digits than its factorization.

20545344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 20545344 is about 4532.6972102712. The cubic root of 20545344 is about 273.8868234523.

Adding to 20545344 its reverse (44354502), we get a palindrome (64899846).

The spelling of 20545344 in words is "twenty million, five hundred forty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 64 72 96 106 144 159 192 212 288 318 424 477 576 636 673 848 954 1272 1346 1696 1908 2019 2544 2692 3392 3816 4038 5088 5384 6057 7632 8076 10176 10768 12114 15264 16152 21536 24228 30528 32304 35669 43072 48456 64608 71338 96912 107007 129216 142676 193824 214014 285352 321021 387648 428028 570704 642042 856056 1141408 1284084 1712112 2282816 2568168 3424224 5136336 6848448 10272672 20545344