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34510134450 = 23521120915233
BaseRepresentation
bin100000001000111101…
…101101110010110010
310022002001220110201210
4200020331231302302
51031134043300300
623504223540550
72331123205611
oct401075556262
9108061813653
1034510134450
11136aa086880
12683145a756
13333c8a96cc
141955431878
15d6ea6a050
hex808f6dcb2

34510134450 has 48 divisors (see below), whose sum is σ = 93365604576. Its totient is φ = 8366092800.

The previous prime is 34510134437. The next prime is 34510134457. The reversal of 34510134450 is 5443101543.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (34510134457) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 10455967 + ... + 10459266.

It is an arithmetic number, because the mean of its divisors is an integer number (1945116762).

Almost surely, 234510134450 is an apocalyptic number.

34510134450 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34510134450 is an abundant number, since it is smaller than the sum of its proper divisors (58855470126).

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

34510134450 is a wasteful number, since it uses less digits than its factorization.

34510134450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20915259 (or 20915254 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 34510134450 its reverse (5443101543), we get a palindrome (39953235993).

The spelling of 34510134450 in words is "thirty-four billion, five hundred ten million, one hundred thirty-four thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 110 150 165 275 330 550 825 1650 20915233 41830466 62745699 104576165 125491398 209152330 230067563 313728495 460135126 522880825 627456990 690202689 1045761650 1150337815 1380405378 1568642475 2300675630 3137284950 3451013445 5751689075 6902026890 11503378150 17255067225 34510134450