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343140553344 = 2731752564423
BaseRepresentation
bin1001111111001001100…
…01010101001010000000
31012210201001111012112010
410333210301111022000
521110222440201334
6421345300532520
733535225402341
oct4774461251200
91183631435463
10343140553344
11122585995576
12566050b1140
1326486737854
14128728620c8
158dd4c500e9
hex4fe4c55280

343140553344 has 64 divisors (see below), whose sum is σ = 965082824640. Its totient is φ = 107651936256.

The previous prime is 343140553307. The next prime is 343140553363. The reversal of 343140553344 is 443355041343.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 26275684 + ... + 26288739.

It is an arithmetic number, because the mean of its divisors is an integer number (15079419135).

Almost surely, 2343140553344 is an apocalyptic number.

343140553344 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

343140553344 is an abundant number, since it is smaller than the sum of its proper divisors (621942271296).

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

343140553344 is a wasteful number, since it uses less digits than its factorization.

343140553344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52564457 (or 52564445 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 39.

Adding to 343140553344 its reverse (443355041343), we get a palindrome (786495594687).

The spelling of 343140553344 in words is "three hundred forty-three billion, one hundred forty million, five hundred fifty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 272 384 408 544 816 1088 1632 2176 3264 6528 52564423 105128846 157693269 210257692 315386538 420515384 630773076 841030768 893595191 1261546152 1682061536 1787190382 2523092304 2680785573 3364123072 3574380764 5046184608 5361571146 6728246144 7148761528 10092369216 10723142292 14297523056 20184738432 21446284584 28595046112 42892569168 57190092224 85785138336 114380184448 171570276672 343140553344