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34220048 = 2417971297
BaseRepresentation
bin1000001010001…
…0100000010000
32101101120002012
42002202200100
532230020143
63221242052
7563602622
oct202424020
971346065
1034220048
1118353035
12b563328
137121a65
14478ac12
15300e418
hex20a2810

34220048 has 40 divisors (see below), whose sum is σ = 70979832. Its totient is φ = 15925248.

The previous prime is 34220047. The next prime is 34220051. The reversal of 34220048 is 84002243.

It can be written as a sum of positive squares in 4 ways, for example, as 20322064 + 13897984 = 4508^2 + 3728^2 .

It is not an unprimeable number, because it can be changed into a prime (34220047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25736 + ... + 27032.

Almost surely, 234220048 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 34220048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35489916).

34220048 is an abundant number, since it is smaller than the sum of its proper divisors (36759784).

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

34220048 is a wasteful number, since it uses less digits than its factorization.

34220048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1419 (or 1413 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 34220048 is about 5849.7904235964. The cubic root of 34220048 is about 324.6585700347.

The spelling of 34220048 in words is "thirty-four million, two hundred twenty thousand, forty-eight".

Divisors: 1 2 4 8 16 17 34 68 97 136 194 272 388 776 1297 1552 1649 2594 3298 5188 6596 10376 13192 20752 22049 26384 44098 88196 125809 176392 251618 352784 503236 1006472 2012944 2138753 4277506 8555012 17110024 34220048