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34220088 = 23327431579
BaseRepresentation
bin1000001010001…
…0100000111000
32101101120010200
42002202200320
532230020323
63221242200
7563603010
oct202424070
971346120
1034220088
1118353071
12b563360
137121a96
14478ac40
15300e443
hex20a2838

34220088 has 96 divisors (see below), whose sum is σ = 108451200. Its totient is φ = 9543744.

The previous prime is 34220071. The next prime is 34220161. The reversal of 34220088 is 88002243.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20883 + ... + 22461.

It is an arithmetic number, because the mean of its divisors is an integer number (1129700).

Almost surely, 234220088 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 34220088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54225600).

34220088 is an abundant number, since it is smaller than the sum of its proper divisors (74231112).

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

34220088 is a wasteful number, since it uses less digits than its factorization.

34220088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1641 (or 1634 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 34220088 is about 5849.7938425213. The cubic root of 34220088 is about 324.6586965330.

The spelling of 34220088 in words is "thirty-four million, two hundred twenty thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 43 56 63 72 84 86 126 129 168 172 252 258 301 344 387 504 516 602 774 903 1032 1204 1548 1579 1806 2408 2709 3096 3158 3612 4737 5418 6316 7224 9474 10836 11053 12632 14211 18948 21672 22106 28422 33159 37896 44212 56844 66318 67897 88424 99477 113688 132636 135794 198954 203691 265272 271588 397908 407382 475279 543176 611073 795816 814764 950558 1222146 1425837 1629528 1901116 2444292 2851674 3802232 4277511 4888584 5703348 8555022 11406696 17110044 34220088