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34243020 = 2233579059
BaseRepresentation
bin1000001010100…
…0000111001100
32101102201121000
42002220013030
532231234040
63221540300
7564026610
oct202500714
971381530
1034243020
1118369319
12b574690
13712c356
144795340
153016130
hex20a81cc

34243020 has 96 divisors (see below), whose sum is σ = 121766400. Its totient is φ = 7826112.

The previous prime is 34243009. The next prime is 34243051. The reversal of 34243020 is 2034243.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 34242984 and 34243002.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 750 + ... + 8309.

It is an arithmetic number, because the mean of its divisors is an integer number (1268400).

Almost surely, 234243020 is an apocalyptic number.

34243020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34243020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60883200).

34243020 is an abundant number, since it is smaller than the sum of its proper divisors (87523380).

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

34243020 is a wasteful number, since it uses less digits than its factorization.

34243020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9084 (or 9076 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 34243020 is about 5851.7535833287. The cubic root of 34243020 is about 324.7312018091.

Adding to 34243020 its reverse (2034243), we get a palindrome (36277263).

The spelling of 34243020 in words is "thirty-four million, two hundred forty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 84 90 105 108 126 135 140 180 189 210 252 270 315 378 420 540 630 756 945 1260 1890 3780 9059 18118 27177 36236 45295 54354 63413 81531 90590 108708 126826 135885 163062 181180 190239 244593 253652 271770 317065 326124 380478 407655 489186 543540 570717 634130 760956 815310 951195 978372 1141434 1222965 1268260 1630620 1712151 1902390 2282868 2445930 2853585 3424302 3804780 4891860 5707170 6848604 8560755 11414340 17121510 34243020