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443342234340 = 2232576910213137
BaseRepresentation
bin1100111001110010100…
…00011010001011100100
31120101100021122000002100
412130321100122023210
524230431102444330
6535400230412100
744013301546155
oct6347120321344
91511307560070
10443342234340
11161025151585
1271b0a501030
1332a64c6c755
141765a5c192c
15b7eba27060
hex673941a2e4

443342234340 has 144 divisors (see below), whose sum is σ = 1348302075120. Its totient is φ = 117917614080.

The previous prime is 443342234329. The next prime is 443342234351. The reversal of 443342234340 is 43432243344.

443342234340 is a `hidden beast` number, since 4 + 43 + 3 + 42 + 234 + 340 = 666.

It is an interprime number because it is at equal distance from previous prime (443342234329) and next prime (443342234351).

It can be written as a sum of positive squares in 8 ways, for example, as 36331409664 + 407010824676 = 190608^2 + 637974^2 .

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 = 443342234295 and 443342234304.

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, 141325252 + ... + 141328388.

It is an arithmetic number, because the mean of its divisors is an integer number (9363208855).

Almost surely, 2443342234340 is an apocalyptic number.

It is an amenable number.

443342234340 is an abundant number, since it is smaller than the sum of its proper divisors (904959840780).

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

443342234340 is a wasteful number, since it uses less digits than its factorization.

443342234340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4942 (or 4937 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 36.

Adding to 443342234340 its reverse (43432243344), we get a palindrome (486774477684).

The spelling of 443342234340 in words is "four hundred forty-three billion, three hundred forty-two million, two hundred thirty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 769 1021 1538 2042 2307 3063 3076 3137 3845 4084 4614 5105 6126 6274 6921 7690 9189 9228 9411 10210 11535 12252 12548 13842 15315 15380 15685 18378 18822 20420 23070 27684 28233 30630 31370 34605 36756 37644 45945 46140 47055 56466 61260 62740 69210 91890 94110 112932 138420 141165 183780 188220 282330 564660 785149 1570298 2355447 2412353 3140596 3202877 3925745 4710894 4824706 6405754 7066341 7237059 7851490 9421788 9608631 9649412 11777235 12061765 12811508 14132682 14474118 15702980 16014385 19217262 21711177 23554470 24123530 28265364 28825893 28948236 32028770 35331705 36185295 38434524 43422354 47108940 48043155 48247060 57651786 64057540 70663410 72370590 86844708 96086310 108555885 115303572 141326820 144129465 144741180 192172620 217111770 288258930 434223540 576517860 2463012413 4926024826 7389037239 9852049652 12315062065 14778074478 22167111717 24630124130 29556148956 36945186195 44334223434 49260248260 73890372390 88668446868 110835558585 147780744780 221671117170 443342234340