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20140344 = 2332789449
BaseRepresentation
bin100110011010…
…1000100111000
31101220020100200
41030311010320
520123442334
61555402200
7333122130
oct114650470
941806320
1020140344
1110406814
1268b3360
134232283
142963ac0
151b7c799
hex1335138

20140344 has 96 divisors (see below), whose sum is σ = 63180000. Its totient is φ = 5677056.

The previous prime is 20140343. The next prime is 20140349. The reversal of 20140344 is 44304102.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20140343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44632 + ... + 45080.

It is an arithmetic number, because the mean of its divisors is an integer number (658125).

Almost surely, 220140344 is an apocalyptic number.

20140344 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 20140344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31590000).

20140344 is an abundant number, since it is smaller than the sum of its proper divisors (43039656).

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

20140344 is a wasteful number, since it uses less digits than its factorization.

20140344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 20140344 is about 4487.7994607603. The cubic root of 20140344 is about 272.0752026778.

Adding to 20140344 its reverse (44304102), we get a palindrome (64444446).

The spelling of 20140344 in words is "twenty million, one hundred forty thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 89 126 168 178 252 267 356 449 504 534 623 712 801 898 1068 1246 1347 1602 1796 1869 2136 2492 2694 3143 3204 3592 3738 4041 4984 5388 5607 6286 6408 7476 8082 9429 10776 11214 12572 14952 16164 18858 22428 25144 28287 32328 37716 39961 44856 56574 75432 79922 113148 119883 159844 226296 239766 279727 319688 359649 479532 559454 719298 839181 959064 1118908 1438596 1678362 2237816 2517543 2877192 3356724 5035086 6713448 10070172 20140344