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34324290 = 233571113127
BaseRepresentation
bin1000001011101…
…1111101000010
32101120212002000
42002323331002
532241334130
63223404430
7564515550
oct202737502
971525060
1034324290
1118414390
12b5b3716
13715a340
1447b6bd0
153030260
hex20bbf42

34324290 has 256 divisors, whose sum is σ = 123863040. Its totient is φ = 6531840.

The previous prime is 34324289. The next prime is 34324307. The reversal of 34324290 is 9242343.

It is a happy number.

34324290 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 (27).

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 127 ways as a sum of consecutive naturals, for example, 270207 + ... + 270333.

It is an arithmetic number, because the mean of its divisors is an integer number (483840).

Almost surely, 234324290 is an apocalyptic number.

34324290 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 34324290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61931520).

34324290 is an abundant number, since it is smaller than the sum of its proper divisors (89538750).

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

34324290 is a wasteful number, since it uses less digits than its factorization.

34324290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 34324290 is about 5858.6935403723. The cubic root of 34324290 is about 324.9878969852.

The spelling of 34324290 in words is "thirty-four million, three hundred twenty-four thousand, two hundred ninety".