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34343443344 = 2437731400173
BaseRepresentation
bin11111111111000001…
…110101101110010000
310021122110020200112010
4133333001311232100
51030313410141334
623435511102520
72324030310660
oct377701655620
9107573220463
1034343443344
1113623a84331
1267a5671a40
1333141b5512
14193b2401a0
15d600e00e9
hex7ff075b90

34343443344 has 80 divisors (see below), whose sum is σ = 102783972992. Its totient is φ = 9677988864.

The previous prime is 34343443339. The next prime is 34343443357. The reversal of 34343443344 is 44334434343.

It is a nude number because it is divisible by every one of its digits.

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, 675559 + ... + 724614.

Almost surely, 234343443344 is an apocalyptic number.

It is an amenable number.

34343443344 is an abundant number, since it is smaller than the sum of its proper divisors (68440529648).

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

34343443344 is a wasteful number, since it uses less digits than its factorization.

34343443344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1400264 (or 1400258 counting only the distinct ones).

The product of its digits is 995328, while the sum is 39.

Adding to 34343443344 its reverse (44334434343), we get a palindrome (78677877687).

Subtracting 34343443344 from its reverse (44334434343), we obtain a palindrome (9990990999).

The spelling of 34343443344 in words is "thirty-four billion, three hundred forty-three million, four hundred forty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 73 84 112 146 168 219 292 336 438 511 584 876 1022 1168 1533 1752 2044 3066 3504 4088 6132 8176 12264 24528 1400173 2800346 4200519 5600692 8401038 9801211 11201384 16802076 19602422 22402768 29403633 33604152 39204844 58807266 67208304 78409688 102212629 117614532 156819376 204425258 235229064 306637887 408850516 470458128 613275774 715488403 817701032 1226551548 1430976806 1635402064 2146465209 2453103096 2861953612 4292930418 4906206192 5723907224 8585860836 11447814448 17171721672 34343443344