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34220010 = 235113857
BaseRepresentation
bin1000001010001…
…0011111101010
32101101120000210
42002202133222
532230020020
63221241550
7563602536
oct202423752
971346023
1034220010
1118353000
12b5632b6
137121a36
14478abc6
15300e3e0
hex20a27ea

34220010 has 64 divisors (see below), whose sum is σ = 90440064. Its totient is φ = 8286080.

The previous prime is 34220009. The next prime is 34220027. The reversal of 34220010 is 1002243.

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, 39502 + ... + 40358.

It is an arithmetic number, because the mean of its divisors is an integer number (1413126).

Almost surely, 234220010 is an apocalyptic number.

34220010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34220010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45220032).

34220010 is an abundant number, since it is smaller than the sum of its proper divisors (56220054).

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

34220010 is a wasteful number, since it uses less digits than its factorization.

34220010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 34220010 is about 5849.7871756159. The cubic root of 34220010 is about 324.6584498612.

Adding to 34220010 its reverse (1002243), we get a palindrome (35222253).

The spelling of 34220010 in words is "thirty-four million, two hundred twenty thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 121 165 242 330 363 605 726 857 1210 1331 1714 1815 2571 2662 3630 3993 4285 5142 6655 7986 8570 9427 12855 13310 18854 19965 25710 28281 39930 47135 56562 94270 103697 141405 207394 282810 311091 518485 622182 1036970 1140667 1555455 2281334 3110910 3422001 5703335 6844002 11406670 17110005 34220010