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34222104 = 2332767901
BaseRepresentation
bin1000001010001…
…1000000011000
32101101122220100
42002203000120
532230101404
63221255400
7563611620
oct202430030
971348810
1034222104
1118354634
12b564560
137122987
14478b880
15300ed39
hex20a3018

34222104 has 48 divisors (see below), whose sum is σ = 105927120. Its totient is φ = 9777600.

The previous prime is 34222103. The next prime is 34222121. The reversal of 34222104 is 40122243.

34222104 = T162 + T163 + ... + T593.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34222103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33447 + ... + 34454.

It is an arithmetic number, because the mean of its divisors is an integer number (2206815).

Almost surely, 234222104 is an apocalyptic number.

It is an amenable number.

34222104 is an abundant number, since it is smaller than the sum of its proper divisors (71705016).

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

34222104 is a wasteful number, since it uses less digits than its factorization.

34222104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67920 (or 67913 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 34222104 is about 5849.9661537482. The cubic root of 34222104 is about 324.6650719217.

Adding to 34222104 its reverse (40122243), we get a palindrome (74344347).

The spelling of 34222104 in words is "thirty-four million, two hundred twenty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 67901 135802 203703 271604 407406 475307 543208 611109 814812 950614 1222218 1425921 1629624 1901228 2444436 2851842 3802456 4277763 4888872 5703684 8555526 11407368 17111052 34222104