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34421128 = 2372277317
BaseRepresentation
bin1000001101001…
…1100110001000
32101202202220121
42003103212020
532302434003
63225433024
7565401100
oct203234610
971682817
1034421128
1118480115
12b63b774
137192441
144800200
15304dcbd
hex20d3988

34421128 has 48 divisors (see below), whose sum is σ = 75585420. Its totient is φ = 14652288.

The previous prime is 34421119. The next prime is 34421143. The reversal of 34421128 is 82112443.

It can be written as a sum of positive squares in 2 ways, for example, as 27857284 + 6563844 = 5278^2 + 2562^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 108426 + ... + 108742.

Almost surely, 234421128 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 34421128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37792710).

34421128 is an abundant number, since it is smaller than the sum of its proper divisors (41164292).

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

34421128 is a wasteful number, since it uses less digits than its factorization.

34421128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614 (or 603 counting only the distinct ones).

The product of its digits is 1536, while the sum is 25.

The square root of 34421128 is about 5866.9521900217. The cubic root of 34421128 is about 325.2932359358.

The spelling of 34421128 in words is "thirty-four million, four hundred twenty-one thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 277 317 392 554 634 1108 1268 1939 2216 2219 2536 3878 4438 7756 8876 13573 15512 15533 17752 27146 31066 54292 62132 87809 108584 124264 175618 351236 614663 702472 1229326 2458652 4302641 4917304 8605282 17210564 34421128