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3443817929820 = 2235232495520239
BaseRepresentation
bin110010000111010011100…
…010110101110001011100
3110012020002121000010001120
4302013103202311301130
5422410414342223240
611154022414010540
7503544006262452
oct62072342656134
913166077003046
103443817929820
111108573494314
124775277a6a50
131bc99b1c4c68
14bc9787449d2
155e8acdd2ad0
hex321d38b5c5c

3443817929820 has 48 divisors (see below), whose sum is σ = 10061937607680. Its totient is φ = 878423123776.

The previous prime is 3443817929789. The next prime is 3443817929831. The reversal of 3443817929820 is 289297183443.

3443817929820 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 (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1247758740 + ... + 1247761499.

It is an arithmetic number, because the mean of its divisors is an integer number (209623700160).

Almost surely, 23443817929820 is an apocalyptic number.

3443817929820 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3443817929820 is an abundant number, since it is smaller than the sum of its proper divisors (6618119677860).

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

3443817929820 is a wasteful number, since it uses less digits than its factorization.

3443817929820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2495520274 (or 2495520272 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 60.

The spelling of 3443817929820 in words is "three trillion, four hundred forty-three billion, eight hundred seventeen million, nine hundred twenty-nine thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1380 2495520239 4991040478 7486560717 9982080956 12477601195 14973121434 24955202390 29946242868 37432803585 49910404780 57396965497 74865607170 114793930994 149731214340 172190896491 229587861988 286984827485 344381792982 573969654970 688763585964 860954482455 1147939309940 1721908964910 3443817929820