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34343330450 = 252111319924137
BaseRepresentation
bin11111111111000001…
…011010001010010010
310021122110000221122212
4133333001122022102
51030313343033300
623435504432122
72324026330562
oct377701321222
9107573027585
1034343330450
1113623a07530
1267a5618642
133314176010
14193b210da2
15d600bb935
hex7ff05a292

34343330450 has 96 divisors (see below), whose sum is σ = 75426422400. Its totient is φ = 11469427200.

The previous prime is 34343330449. The next prime is 34343330459. The reversal of 34343330450 is 5403334343.

It is not an unprimeable number, because it can be changed into a prime (34343330459) 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 47 ways as a sum of consecutive naturals, for example, 1410782 + ... + 1434918.

It is an arithmetic number, because the mean of its divisors is an integer number (785691900).

Almost surely, 234343330450 is an apocalyptic number.

34343330450 is an abundant number, since it is smaller than the sum of its proper divisors (41083091950).

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

34343330450 is a wasteful number, since it uses less digits than its factorization.

34343330450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24372 (or 24367 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 32.

Adding to 34343330450 its reverse (5403334343), we get a palindrome (39746664793).

The spelling of 34343330450 in words is "thirty-four billion, three hundred forty-three million, three hundred thirty thousand, four hundred fifty".

Divisors: 1 2 5 10 11 13 22 25 26 50 55 65 110 130 143 199 275 286 325 398 550 650 715 995 1430 1990 2189 2587 3575 4378 4975 5174 7150 9950 10945 12935 21890 24137 25870 28457 48274 54725 56914 64675 109450 120685 129350 142285 241370 265507 284570 313781 531014 603425 627562 711425 1206850 1327535 1422850 1568905 2655070 3137810 3451591 4803263 6637675 6903182 7844525 9606526 13275350 15689050 17257955 24016315 34515910 48032630 52835893 62442419 86289775 105671786 120081575 124884838 172579550 240163150 264179465 312212095 528358930 624424190 686866609 1320897325 1373733218 1561060475 2641794650 3122120950 3434333045 6868666090 17171665225 34343330450