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343432045000 = 23541117367307
BaseRepresentation
bin1001111111101100010…
…01010010000111001000
31012211110100222111220101
410333312021102013020
521111322100420000
6421434232335144
733545365134262
oct4776611220710
91184410874811
10343432045000
11122715488570
12566868444b4
1326501c46a15
141289d45cb32
158e0062ce6a
hex4ff62521c8

343432045000 has 160 divisors (see below), whose sum is σ = 929450855520. Its totient is φ = 117537920000.

The previous prime is 343432044979. The next prime is 343432045001. The reversal of 343432045000 is 540234343.

It is a self number, because there is not a number n which added to its sum of digits gives 343432045000.

It is not an unprimeable number, because it can be changed into a prime (343432045001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 751347 + ... + 1118653.

It is an arithmetic number, because the mean of its divisors is an integer number (5809067847).

Almost surely, 2343432045000 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 343432045000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464725427760).

343432045000 is an abundant number, since it is smaller than the sum of its proper divisors (586018810520).

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

343432045000 is a wasteful number, since it uses less digits than its factorization.

343432045000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367361 (or 367342 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 28.

Adding to 343432045000 its reverse (540234343), we get a palindrome (343972279343).

The spelling of 343432045000 in words is "three hundred forty-three billion, four hundred thirty-two million, forty-five thousand".

Divisors: 1 2 4 5 8 10 11 17 20 22 25 34 40 44 50 55 68 85 88 100 110 125 136 170 187 200 220 250 275 340 374 425 440 500 550 625 680 748 850 935 1000 1100 1250 1375 1496 1700 1870 2125 2200 2500 2750 3400 3740 4250 4675 5000 5500 6875 7480 8500 9350 10625 11000 13750 17000 18700 21250 23375 27500 37400 42500 46750 55000 85000 93500 116875 187000 233750 367307 467500 734614 935000 1469228 1836535 2938456 3673070 4040377 6244219 7346140 8080754 9182675 12488438 14692280 16161508 18365350 20201885 24976876 31221095 32323016 36730700 40403770 45913375 49953752 62442190 68686409 73461400 80807540 91826750 101009425 124884380 137372818 156105475 161615080 183653500 202018850 229566875 249768760 274745636 312210950 343432045 367307000 404037700 459133750 505047125 549491272 624421900 686864090 780527375 808075400 918267500 1010094250 1248843800 1373728180 1561054750 1717160225 1836535000 2020188500 2525235625 2747456360 3122109500 3434320450 3902636875 4040377000 5050471250 6244219000 6868640900 7805273750 8585801125 10100942500 13737281800 15610547500 17171602250 20201885000 31221095000 34343204500 42929005625 68686409000 85858011250 171716022500 343432045000