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4241334300 = 22352713731471
BaseRepresentation
bin1111110011001101…
…1010000000011100
3101221120211002212120
43330303122000130
532141240144200
61540510302540
7210050514060
oct37463320034
911846732776
104241334300
111887139265
129a44b7a50
1352791b988
142c3415aa0
1519c5469a0
hexfccda01c

4241334300 has 144 divisors (see below), whose sum is σ = 14044434432. Its totient is φ = 968083200.

The previous prime is 4241334289. The next prime is 4241334359. The reversal of 4241334300 is 34331424.

4241334300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2882565 + ... + 2884035.

Almost surely, 24241334300 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 4241334300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7022217216).

4241334300 is an abundant number, since it is smaller than the sum of its proper divisors (9803100132).

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

4241334300 is a wasteful number, since it uses less digits than its factorization.

4241334300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2868 (or 2861 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 4241334300 is about 65125.5272531440. The cubic root of 4241334300 is about 1618.7042298095.

Adding to 4241334300 its reverse (34331424), we get a palindrome (4275665724).

The spelling of 4241334300 in words is "four billion, two hundred forty-one million, three hundred thirty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 1373 1471 2100 2746 2942 4119 4413 5492 5884 6865 7355 8238 8826 9611 10297 13730 14710 16476 17652 19222 20594 20595 22065 27460 28833 29420 30891 34325 36775 38444 41188 41190 44130 48055 51485 57666 61782 68650 73550 82380 88260 96110 102970 102975 110325 115332 123564 137300 144165 147100 154455 192220 205940 205950 220650 240275 257425 288330 308910 411900 441300 480550 514850 576660 617820 720825 772275 961100 1029700 1441650 1544550 2019683 2883300 3089100 4039366 6059049 8078732 10098415 12118098 14137781 20196830 24236196 28275562 30295245 40393660 42413343 50492075 56551124 60590490 70688905 84826686 100984150 121180980 141377810 151476225 169653372 201968300 212066715 282755620 302952450 353444525 424133430 605904900 706889050 848266860 1060333575 1413778100 2120667150 4241334300