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34020321200 = 2452238941549
BaseRepresentation
bin11111101011110001…
…001110011110110000
310020210221020101021022
4133223301032132300
51024133200234300
623343445315012
72313024646625
oct375361163660
9106727211238
1034020321200
1113478647938
126715405a68
133292280198
14190a36c34c
15d41a65285
hex7ebc4e7b0

34020321200 has 120 divisors (see below), whose sum is σ = 86247828000. Its totient is φ = 12869908480.

The previous prime is 34020321191. The next prime is 34020321221. The reversal of 34020321200 is 212302043.

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, 798026 + ... + 839574.

It is an arithmetic number, because the mean of its divisors is an integer number (718731900).

Almost surely, 234020321200 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 34020321200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43123914000).

34020321200 is an abundant number, since it is smaller than the sum of its proper divisors (52227506800).

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

34020321200 is a wasteful number, since it uses less digits than its factorization.

34020321200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41679 (or 41668 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 34020321200 its reverse (212302043), we get a palindrome (34232623243).

The spelling of 34020321200 in words is "thirty-four billion, twenty million, three hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 89 92 100 115 178 184 200 230 356 368 400 445 460 575 712 890 920 1150 1424 1780 1840 2047 2225 2300 3560 4094 4450 4600 7120 8188 8900 9200 10235 16376 17800 20470 32752 35600 40940 41549 51175 81880 83098 102350 163760 166196 204700 207745 332392 409400 415490 664784 818800 830980 955627 1038725 1661960 1911254 2077450 3323920 3697861 3822508 4154900 4778135 7395722 7645016 8309800 9556270 14791444 15290032 16619600 18489305 19112540 23890675 29582888 36978610 38225080 47781350 59165776 73957220 76450160 85050803 92446525 95562700 147914440 170101606 184893050 191125400 295828880 340203212 369786100 382250800 425254015 680406424 739572200 850508030 1360812848 1479144400 1701016060 2126270075 3402032120 4252540150 6804064240 8505080300 17010160600 34020321200