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2443028940 = 22325116012053
BaseRepresentation
bin1001000110011101…
…1010100111001100
320022020222201200100
42101213122213030
520000403411230
61042230331100
7114353255232
oct22147324714
96266881610
102443028940
111044031890
125821b9a90
132cc1a3071
14192660952
15e4725660
hex919da9cc

2443028940 has 144 divisors (see below), whose sum is σ = 8101600416. Its totient is φ = 590976000.

The previous prime is 2443028921. The next prime is 2443028941. The reversal of 2443028940 is 498203442.

2443028940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2443028895 and 2443028904.

It is not an unprimeable number, because it can be changed into a prime (2443028941) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1188954 + ... + 1191006.

It is an arithmetic number, because the mean of its divisors is an integer number (56261114).

Almost surely, 22443028940 is an apocalyptic number.

2443028940 is a gapful number since it is divisible by the number (20) 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 2443028940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4050800208).

2443028940 is an abundant number, since it is smaller than the sum of its proper divisors (5658571476).

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

2443028940 is a wasteful number, since it uses less digits than its factorization.

2443028940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2680 (or 2675 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 2443028940 is about 49427.0061808320. The cubic root of 2443028940 is about 1346.8199387952.

The spelling of 2443028940 in words is "two billion, four hundred forty-three million, twenty-eight thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 601 660 990 1202 1803 1980 2053 2404 3005 3606 4106 5409 6010 6159 6611 7212 8212 9015 10265 10818 12020 12318 13222 18030 18477 19833 20530 21636 22583 24636 26444 27045 30795 33055 36060 36954 39666 41060 45166 54090 59499 61590 66110 67749 73908 79332 90332 92385 99165 108180 112915 118998 123180 132220 135498 184770 198330 203247 225830 237996 270996 297495 338745 369540 396660 406494 451660 594990 677490 812988 1016235 1189980 1233853 1354980 2032470 2467706 3701559 4064940 4935412 6169265 7403118 11104677 12338530 13572383 14806236 18507795 22209354 24677060 27144766 37015590 40717149 44418708 54289532 55523385 67861915 74031180 81434298 111046770 122151447 135723830 162868596 203585745 222093540 244302894 271447660 407171490 488605788 610757235 814342980 1221514470 2443028940