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34050224 = 24131271289
BaseRepresentation
bin1000000111100…
…1000010110000
32101001221010102
42001321002300
532204101344
63213451532
7562264535
oct201710260
971057112
1034050224
111824748a
12b4a0ba8
137092680
144744d8c
152ec8e4e
hex20790b0

34050224 has 40 divisors (see below), whose sum is σ = 71662080. Its totient is φ = 15579648.

The previous prime is 34050217. The next prime is 34050241. The reversal of 34050224 is 42205043.

It is a junction number, because it is equal to n+sod(n) for n = 34050196 and 34050205.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25772 + ... + 27060.

It is an arithmetic number, because the mean of its divisors is an integer number (1791552).

Almost surely, 234050224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34050224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35831040).

34050224 is an abundant number, since it is smaller than the sum of its proper divisors (37611856).

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

34050224 is a wasteful number, since it uses less digits than its factorization.

34050224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1437 (or 1431 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 34050224 is about 5835.2569780602. The cubic root of 34050224 is about 324.1206175920.

Adding to 34050224 its reverse (42205043), we get a palindrome (76255267).

The spelling of 34050224 in words is "thirty-four million, fifty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 52 104 127 208 254 508 1016 1289 1651 2032 2578 3302 5156 6604 10312 13208 16757 20624 26416 33514 67028 134056 163703 268112 327406 654812 1309624 2128139 2619248 4256278 8512556 17025112 34050224