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34249050 = 232521121737
BaseRepresentation
bin1000001010100…
…1100101011010
32101110000212100
42002221211122
532231432200
63222024230
7564053313
oct202514532
971400770
1034249050
1118372900
12b578076
137132014
14479760a
153017d00
hex20a995a

34249050 has 216 divisors, whose sum is σ = 109985148. Its totient is φ = 7603200.

The previous prime is 34249049. The next prime is 34249081. The reversal of 34249050 is 5094243.

It can be written as a sum of positive squares in 6 ways, for example, as 24830289 + 9418761 = 4983^2 + 3069^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 925632 + ... + 925668.

Almost surely, 234249050 is an apocalyptic number.

34249050 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 34249050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54992574).

34249050 is an abundant number, since it is smaller than the sum of its proper divisors (75736098).

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

34249050 is a wasteful number, since it uses less digits than its factorization.

34249050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 34249050 is about 5852.2687908195. The cubic root of 34249050 is about 324.7502617929.

The spelling of 34249050 in words is "thirty-four million, two hundred forty-nine thousand, fifty".