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4300034040 = 233453973343
BaseRepresentation
bin1000000000100110…
…10100111111111000
3102002200021100210000
410000103110333320
532301302042130
61550404353000
7211362454251
oct40023247770
912080240700
104300034040
111907291245
12a000a5760
13536b31b53
142cb135b28
151a278e260
hex1004d4ff8

4300034040 has 160 divisors (see below), whose sum is σ = 14493631680. Its totient is φ = 1143445248.

The previous prime is 4300034033. The next prime is 4300034041. The reversal of 4300034040 is 404300034.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4300034041) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1284609 + ... + 1287951.

It is an arithmetic number, because the mean of its divisors is an integer number (90585198).

Almost surely, 24300034040 is an apocalyptic number.

4300034040 is a gapful number since it is divisible by the number (40) 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 4300034040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7246815840).

4300034040 is an abundant number, since it is smaller than the sum of its proper divisors (10193597640).

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

4300034040 is a wasteful number, since it uses less digits than its factorization.

4300034040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3763 (or 3750 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 4300034040 is about 65574.6447950730. The cubic root of 4300034040 is about 1626.1376226429.

Adding to 4300034040 its reverse (404300034), we get a palindrome (4704334074).

The spelling of 4300034040 in words is "four billion, three hundred million, thirty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 397 405 540 648 794 810 1080 1191 1588 1620 1985 2382 3176 3240 3343 3573 3970 4764 5955 6686 7146 7940 9528 10029 10719 11910 13372 14292 15880 16715 17865 20058 21438 23820 26744 28584 30087 32157 33430 35730 40116 42876 47640 50145 53595 60174 64314 66860 71460 80232 85752 90261 100290 107190 120348 128628 133720 142920 150435 160785 180522 200580 214380 240696 257256 270783 300870 321570 361044 401160 428760 451305 541566 601740 643140 722088 902610 1083132 1203480 1286280 1327171 1353915 1805220 2166264 2654342 2707830 3610440 3981513 5308684 5415660 6635855 7963026 10617368 10831320 11944539 13271710 15926052 19907565 23889078 26543420 31852104 35833617 39815130 47778156 53086840 59722695 71667234 79630260 95556312 107500851 119445390 143334468 159260520 179168085 215001702 238890780 286668936 358336170 430003404 477781560 537504255 716672340 860006808 1075008510 1433344680 2150017020 4300034040