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3441041353400 = 2352711092216309
BaseRepresentation
bin110010000100101110000…
…011000010101010111000
3110011221221002101102020212
4302010232003002222320
5422334223041302100
611152443110210252
7503415132622460
oct62045603025270
913157832342225
103441041353400
111107379155362
12476a91953988
131bc647ba9531
14bc793a9aba0
155e799273635
hex3212e0c2ab8

3441041353400 has 96 divisors (see below), whose sum is σ = 9151587252000. Its totient is φ = 1178721246720.

The previous prime is 3441041353391. The next prime is 3441041353459. The reversal of 3441041353400 is 43531401443.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 444446 + ... + 2660754.

It is an arithmetic number, because the mean of its divisors is an integer number (95329033875).

Almost surely, 23441041353400 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 3441041353400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4575793626000).

3441041353400 is an abundant number, since it is smaller than the sum of its proper divisors (5710545898600).

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

3441041353400 is a wasteful number, since it uses less digits than its factorization.

3441041353400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2217441 (or 2217432 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

Adding to 3441041353400 its reverse (43531401443), we get a palindrome (3484572754843).

The spelling of 3441041353400 in words is "three trillion, four hundred forty-one billion, forty-one million, three hundred fifty-three thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1109 1400 2218 4436 5545 7763 8872 11090 15526 22180 27725 31052 38815 44360 55450 62104 77630 110900 155260 194075 221800 310520 388150 776300 1552600 2216309 4432618 8865236 11081545 15514163 17730472 22163090 31028326 44326180 55407725 62056652 77570815 88652360 110815450 124113304 155141630 221630900 310283260 387854075 443261800 620566520 775708150 1551416300 2457886681 3102832600 4915773362 9831546724 12289433405 17205206767 19663093448 24578866810 34410413534 49157733620 61447167025 68820827068 86026033835 98315467240 122894334050 137641654136 172052067670 245788668100 344104135340 430130169175 491577336200 688208270680 860260338350 1720520676700 3441041353400