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2443082640 = 2435671371109
BaseRepresentation
bin1001000110011110…
…0111101110010000
320022021002110100020
42101213213232100
520000412121030
61042231423440
7114353600625
oct22147475620
96267073306
102443082640
111044069169
12582224b80
132cc1c163b
1419267634c
15e4736510
hex919e7b90

2443082640 has 160 divisors (see below), whose sum is σ = 7749682560. Its totient is φ = 636506112.

The previous prime is 2443082633. The next prime is 2443082651. The reversal of 2443082640 is 462803442.

2443082640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2202406 + ... + 2203514.

It is an arithmetic number, because the mean of its divisors is an integer number (48435516).

Almost surely, 22443082640 is an apocalyptic number.

2443082640 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 2443082640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3874841280).

2443082640 is an abundant number, since it is smaller than the sum of its proper divisors (5306599920).

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

2443082640 is a wasteful number, since it uses less digits than its factorization.

2443082640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1329 (or 1323 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

The square root of 2443082640 is about 49427.5494031416. The cubic root of 2443082640 is about 1346.8298068323.

The spelling of 2443082640 in words is "two billion, four hundred forty-three million, eighty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 67 80 120 134 137 201 240 268 274 335 402 411 536 548 670 685 804 822 1005 1072 1096 1109 1340 1370 1608 1644 2010 2055 2192 2218 2680 2740 3216 3288 3327 4020 4110 4436 5360 5480 5545 6576 6654 8040 8220 8872 9179 10960 11090 13308 16080 16440 16635 17744 18358 22180 26616 27537 32880 33270 36716 44360 45895 53232 55074 66540 73432 74303 88720 91790 110148 133080 137685 146864 148606 151933 183580 220296 222909 266160 275370 297212 303866 367160 371515 440592 445818 455799 550740 594424 607732 734320 743030 759665 891636 911598 1101480 1114545 1188848 1215464 1486060 1519330 1783272 1823196 2202960 2229090 2278995 2430928 2972120 3038660 3566544 3646392 4458180 4557990 5944240 6077320 7292784 8916360 9115980 10179511 12154640 17832720 18231960 20359022 30538533 36463920 40718044 50897555 61077066 81436088 101795110 122154132 152692665 162872176 203590220 244308264 305385330 407180440 488616528 610770660 814360880 1221541320 2443082640