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20034612 = 22321323789
BaseRepresentation
bin100110001101…
…1010000110100
31101200212022200
41030123100310
520112101422
61553224500
7332201643
oct114332064
941625280
1020034612
1110344334
126862130
1341c6100
14293735a
151b5b2ac
hex131b434

20034612 has 108 divisors (see below), whose sum is σ = 56953260. Its totient is φ = 5930496.

The previous prime is 20034601. The next prime is 20034617. The reversal of 20034612 is 21643002.

It is a happy number.

20034612 is a `hidden beast` number, since 20 + 0 + 34 + 612 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2090916 + 17943696 = 1446^2 + 4236^2 .

It is a super-4 number, since 4×200346124 (a number of 30 digits) contains 4444 as substring.

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 (20034617) 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 35 ways as a sum of consecutive naturals, for example, 225064 + ... + 225152.

It is an arithmetic number, because the mean of its divisors is an integer number (527345).

Almost surely, 220034612 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 20034612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28476630).

20034612 is an abundant number, since it is smaller than the sum of its proper divisors (36918648).

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

20034612 is a wasteful number, since it uses less digits than its factorization.

20034612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 20034612 is about 4476.0040214459. The cubic root of 20034612 is about 271.5982571214.

Adding to 20034612 its reverse (21643002), we get a palindrome (41677614).

The spelling of 20034612 in words is "twenty million, thirty-four thousand, six hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 37 39 52 74 78 89 111 117 148 156 169 178 222 234 267 333 338 356 444 468 481 507 534 666 676 801 962 1014 1068 1157 1332 1443 1521 1602 1924 2028 2314 2886 3042 3204 3293 3471 4329 4628 5772 6084 6253 6586 6942 8658 9879 10413 12506 13172 13884 15041 17316 18759 19758 20826 25012 29637 30082 37518 39516 41652 42809 45123 56277 59274 60164 75036 85618 90246 112554 118548 128427 135369 171236 180492 225108 256854 270738 385281 513708 541476 556517 770562 1113034 1541124 1669551 2226068 3339102 5008653 6678204 10017306 20034612