Search a number
-
+
343204234212240 = 243251393429298903
BaseRepresentation
bin100111000001001000111011…
…0011101110011001110010000
31200000012000010011211211100200
41032002101312131303032100
5324441024232424242430
63213533503144015200
7132201454603130052
oct11602216635631620
91600160104754320
10343204234212240
119a3a0109995825
12325ab343761500
1311967035b1566b
1460a72603a98d2
1529a27e2d30460
hex1382476773390

343204234212240 has 120 divisors (see below), whose sum is σ = 1160886264982080. Its totient is φ = 90862703707392.

The previous prime is 343204234212239. The next prime is 343204234212271. The reversal of 343204234212240 is 42212432402343.

343204234212240 is a `hidden beast` number, since 3 + 4 + 3 + 2 + 0 + 4 + 2 + 3 + 421 + 224 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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 = 343204234212195 and 343204234212204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1714549372 + ... + 1714749531.

It is an arithmetic number, because the mean of its divisors is an integer number (9674052208184).

Almost surely, 2343204234212240 is an apocalyptic number.

343204234212240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

343204234212240 is an abundant number, since it is smaller than the sum of its proper divisors (817682030769840).

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

343204234212240 is a wasteful number, since it uses less digits than its factorization.

343204234212240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3429299061 (or 3429299052 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 343204234212240 its reverse (42212432402343), we get a palindrome (385416666614583).

The spelling of 343204234212240 in words is "three hundred forty-three trillion, two hundred four billion, two hundred thirty-four million, two hundred twelve thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 139 144 180 240 278 360 417 556 695 720 834 1112 1251 1390 1668 2085 2224 2502 2780 3336 4170 5004 5560 6255 6672 8340 10008 11120 12510 16680 20016 25020 33360 50040 100080 3429298903 6858597806 10287896709 13717195612 17146494515 20575793418 27434391224 30863690127 34292989030 41151586836 51439483545 54868782448 61727380254 68585978060 82303173672 102878967090 123454760508 137171956120 154318450635 164606347344 205757934180 246909521016 274343912240 308636901270 411515868360 476672547517 493819042032 617273802540 823031736720 953345095034 1234547605080 1430017642551 1906690190068 2383362737585 2469095210160 2860035285102 3813380380136 4290052927653 4766725475170 5720070570204 7150088212755 7626760760272 8580105855306 9533450950340 11440141140408 14300176425510 17160211710612 19066901900680 21450264638265 22880282280816 28600352851020 34320423421224 38133803801360 42900529276530 57200705702040 68640846842448 85801058553060 114401411404080 171602117106120 343204234212240