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34196220 = 22325296551
BaseRepresentation
bin1000001001110…
…0101011111100
32101100100101200
42002130223330
532223234340
63220535500
7563443302
oct202345374
971310350
1034196220
1118337143
12b551590
137113c66
144782272
153007330
hex209cafc

34196220 has 72 divisors (see below), whose sum is σ = 107321760. Its totient is φ = 8803200.

The previous prime is 34196209. The next prime is 34196221. The reversal of 34196220 is 2269143.

34196220 is a `hidden beast` number, since 34 + 1 + 9 + 622 + 0 = 666.

34196220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34196221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1945 + ... + 8495.

It is an arithmetic number, because the mean of its divisors is an integer number (1490580).

Almost surely, 234196220 is an apocalyptic number.

34196220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34196220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53660880).

34196220 is an abundant number, since it is smaller than the sum of its proper divisors (73125540).

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

34196220 is a wasteful number, since it uses less digits than its factorization.

34196220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6595 (or 6590 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 34196220 is about 5847.7534147739. The cubic root of 34196220 is about 324.5831974474.

The spelling of 34196220 in words is "thirty-four million, one hundred ninety-six thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 870 1044 1305 1740 2610 5220 6551 13102 19653 26204 32755 39306 58959 65510 78612 98265 117918 131020 189979 196530 235836 294795 379958 393060 569937 589590 759916 949895 1139874 1179180 1709811 1899790 2279748 2849685 3419622 3799580 5699370 6839244 8549055 11398740 17098110 34196220