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34021020220 = 225111072715333
BaseRepresentation
bin11111101011110011…
…111001001000111100
310020210222112220010221
4133223303321020330
51024133340121340
623343512311124
72313033620605
oct375363711074
9106728486127
1034021020220
1113478a85040
1267156a24a4
1332924663c5
14190a4b0dac
15d41b5244a
hex7ebcf923c

34021020220 has 96 divisors (see below), whose sum is σ = 78972558336. Its totient is φ = 12208147200.

The previous prime is 34021020181. The next prime is 34021020233. The reversal of 34021020220 is 2202012043.

Adding to 34021020220 its reverse (2202012043), we get a palindrome (36223032263).

It is a junction number, because it is equal to n+sod(n) for n = 34021020194 and 34021020203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6376674 + ... + 6382006.

It is an arithmetic number, because the mean of its divisors is an integer number (822630816).

Almost surely, 234021020220 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 34021020220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39486279168).

34021020220 is an abundant number, since it is smaller than the sum of its proper divisors (44951538116).

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

34021020220 is a wasteful number, since it uses less digits than its factorization.

34021020220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5731 (or 5729 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The spelling of 34021020220 in words is "thirty-four billion, twenty-one million, twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 107 110 214 220 271 428 535 542 1070 1084 1177 1355 2140 2354 2710 2981 4708 5333 5420 5885 5962 10666 11770 11924 14905 21332 23540 26665 28997 29810 53330 57994 58663 59620 106660 115988 117326 144985 234652 289970 293315 318967 570631 579940 586630 637934 1141262 1173260 1275868 1445243 1594835 2282524 2853155 2890486 3189670 5706310 5780972 6276941 6379340 7226215 11412620 12553882 14452430 15897673 25107764 28904860 31384705 31795346 62769410 63590692 79488365 125538820 154641001 158976730 309282002 317953460 618564004 773205005 1546410010 1701051011 3092820020 3402102022 6804204044 8505255055 17010510110 34021020220