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34226010 = 23357213199
BaseRepresentation
bin1000001010001…
…1111101011010
32101101212021000
42002203331122
532230213020
63221325430
7563626200
oct202437532
971355230
1034226010
1118357565
12b566876
1371246a0
14478d070
153011090
hex20a3f5a

34226010 has 192 divisors, whose sum is σ = 114912000. Its totient is φ = 7185024.

The previous prime is 34225993. The next prime is 34226051. The reversal of 34226010 is 1062243.

It is a happy number.

34226010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 171891 + ... + 172089.

It is an arithmetic number, because the mean of its divisors is an integer number (598500).

Almost surely, 234226010 is an apocalyptic number.

34226010 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 34226010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57456000).

34226010 is an abundant number, since it is smaller than the sum of its proper divisors (80685990).

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

34226010 is a wasteful number, since it uses less digits than its factorization.

34226010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 34226010 is about 5850.2999923081. The cubic root of 34226010 is about 324.6774235246.

Adding to 34226010 its reverse (1062243), we get a palindrome (35288253).

The spelling of 34226010 in words is "thirty-four million, two hundred twenty-six thousand, ten".