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20163384 = 2333277337
BaseRepresentation
bin100110011101…
…0101100111000
31101221101222000
41030322230320
520130212014
62000101000
7333246243
oct114725470
941841860
1020163384
111042205a
126904760
13423c8c7
14296c25a
151b84509
hex133ab38

20163384 has 64 divisors (see below), whose sum is σ = 56378400. Its totient is φ = 6676992.

The previous prime is 20163359. The next prime is 20163397. The reversal of 20163384 is 48336102.

It is a happy number.

20163384 is a `hidden beast` number, since 20 + 1 + 633 + 8 + 4 = 666.

It is a super-4 number, since 4×201633844 (a number of 30 digits) contains 4444 as substring.

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

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 15 ways as a sum of consecutive naturals, for example, 59664 + ... + 60000.

Almost surely, 220163384 is an apocalyptic number.

20163384 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 20163384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28189200).

20163384 is an abundant number, since it is smaller than the sum of its proper divisors (36215016).

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

20163384 is a wasteful number, since it uses less digits than its factorization.

20163384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 619 counting only the distinct ones).

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

The square root of 20163384 is about 4490.3656866674. The cubic root of 20163384 is about 272.1789119923.

Adding to 20163384 its reverse (48336102), we get a palindrome (68499486).

The spelling of 20163384 in words is "twenty million, one hundred sixty-three thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 277 337 554 674 831 1011 1108 1348 1662 2022 2216 2493 2696 3033 3324 4044 4986 6066 6648 7479 8088 9099 9972 12132 14958 18198 19944 24264 29916 36396 59832 72792 93349 186698 280047 373396 560094 746792 840141 1120188 1680282 2240376 2520423 3360564 5040846 6721128 10081692 20163384