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20334300 = 22352723421
BaseRepresentation
bin100110110010…
…0011011011100
31102021002102020
41031210123130
520201144200
62003500140
7334560450
oct115443334
942232366
1020334300
1110529508
126987650
13429c63c
1429b4660
151bb9ea0
hex13646dc

20334300 has 144 divisors (see below), whose sum is σ = 70328832. Its totient is φ = 4435200.

The previous prime is 20334283. The next prime is 20334311. The reversal of 20334300 is 343302.

Adding to 20334300 its reverse (343302), we get a palindrome (20677602).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20334300.

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 47 ways as a sum of consecutive naturals, for example, 48090 + ... + 48510.

Almost surely, 220334300 is an apocalyptic number.

20334300 is a gapful number since it is divisible by the number (20) 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 20334300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35164416).

20334300 is an abundant number, since it is smaller than the sum of its proper divisors (49994532).

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

20334300 is a wasteful number, since it uses less digits than its factorization.

20334300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 15.

The square root of 20334300 is about 4509.3569386333. The cubic root of 20334300 is about 272.9457955688.

The spelling of 20334300 in words is "twenty million, three hundred thirty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 23 25 28 30 35 42 46 50 60 69 70 75 84 92 100 105 115 138 140 150 161 175 210 230 276 300 322 345 350 420 421 460 483 525 575 644 690 700 805 842 966 1050 1150 1263 1380 1610 1684 1725 1932 2100 2105 2300 2415 2526 2947 3220 3450 4025 4210 4830 5052 5894 6315 6900 8050 8420 8841 9660 9683 10525 11788 12075 12630 14735 16100 17682 19366 21050 24150 25260 29049 29470 31575 35364 38732 42100 44205 48300 48415 58098 58940 63150 67781 73675 88410 96830 116196 126300 135562 145245 147350 176820 193660 203343 221025 242075 271124 290490 294700 338905 406686 442050 484150 580980 677810 726225 813372 884100 968300 1016715 1355620 1452450 1694525 2033430 2904900 3389050 4066860 5083575 6778100 10167150 20334300