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34304020100250 = 2353612399312553
BaseRepresentation
bin1111100110011000001101…
…11011101011010010011010
311111110102200010211201222020
413303030012323223102122
513444014113121202000
6200543014351035310
710140245411535615
oct763140673532232
9144412603751866
1034304020100250
11aa2628705181a
123a20422b0bb36
13161ab16ba4c14
148684756d517c
153e74d6338ba0
hex1f3306eeb49a

34304020100250 has 128 divisors (see below), whose sum is σ = 87063041894400. Its totient is φ = 8993996352000.

The previous prime is 34304020100243. The next prime is 34304020100303. The reversal of 34304020100250 is 5200102040343.

It is a self number, because there is not a number n which added to its sum of digits gives 34304020100250.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 109597974 + ... + 109910526.

It is an arithmetic number, because the mean of its divisors is an integer number (680180014800).

Almost surely, 234304020100250 is an apocalyptic number.

34304020100250 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34304020100250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43531520947200).

34304020100250 is an abundant number, since it is smaller than the sum of its proper divisors (52759021794150).

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

34304020100250 is a wasteful number, since it uses less digits than its factorization.

34304020100250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315033 (or 315023 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 34304020100250 its reverse (5200102040343), we get a palindrome (39504122140593).

The spelling of 34304020100250 in words is "thirty-four trillion, three hundred four billion, twenty million, one hundred thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 61 75 122 125 150 183 250 305 366 375 610 750 915 1525 1830 2399 3050 4575 4798 7197 7625 9150 11995 14394 15250 22875 23990 35985 45750 59975 71970 119950 146339 179925 292678 299875 312553 359850 439017 599750 625106 731695 878034 899625 937659 1463390 1562765 1799250 1875318 2195085 3125530 3658475 4390170 4688295 7316950 7813825 9376590 10975425 15627650 18292375 19065733 21950850 23441475 36584750 38131466 39069125 46882950 54877125 57197199 78138250 95328665 109754250 114394398 117207375 190657330 234414750 285985995 476643325 571971990 749814647 953286650 1429929975 1499629294 2249443941 2383216625 2859859950 3749073235 4498887882 4766433250 7149649875 7498146470 11247219705 14299299750 18745366175 22494439410 37490732350 45738693467 56236098525 91477386934 93726830875 112472197050 137216080401 187453661750 228693467335 274432160802 281180492625 457386934670 562360985250 686080402005 1143467336675 1372160804010 2286934673350 3430402010025 5717336683375 6860804020050 11434673366750 17152010050125 34304020100250