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20812344 = 233743267
BaseRepresentation
bin100111101100…
…1001000111000
31110011101011120
41033121020320
520311443334
62022025240
7341621250
oct117311070
943141146
1020812344
1110825693
126b78220
1344090c7
142a9a960
151c61949
hex13d9238

20812344 has 96 divisors (see below), whose sum is σ = 61787520. Its totient is φ = 5721408.

The previous prime is 20812303. The next prime is 20812357. The reversal of 20812344 is 44321802.

20812344 = T489 + T490 + ... + T622.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 310599 + ... + 310665.

It is an arithmetic number, because the mean of its divisors is an integer number (643620).

Almost surely, 220812344 is an apocalyptic number.

20812344 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 20812344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30893760).

20812344 is an abundant number, since it is smaller than the sum of its proper divisors (40975176).

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

20812344 is a wasteful number, since it uses less digits than its factorization.

20812344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 20812344 is about 4562.0548001969. The cubic root of 20812344 is about 275.0681660220.

The spelling of 20812344 in words is "twenty million, eight hundred twelve thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 43 56 67 84 86 129 134 168 172 201 258 268 301 344 402 469 516 536 602 804 903 938 1032 1204 1407 1608 1806 1849 1876 2408 2814 2881 3612 3698 3752 5547 5628 5762 7224 7396 8643 11094 11256 11524 12943 14792 17286 20167 22188 23048 25886 34572 38829 40334 44376 51772 60501 69144 77658 80668 103544 121002 123883 155316 161336 242004 247766 310632 371649 484008 495532 743298 867181 991064 1486596 1734362 2601543 2973192 3468724 5203086 6937448 10406172 20812344