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34229208 = 23313313539
BaseRepresentation
bin1000001010010…
…0101111011000
32101102000122110
42002210233120
532230313313
63221352320
7563641416
oct202445730
971360573
1034229208
1118359a02
12b5686a0
137125c90
1447902b6
153011ec3
hex20a4bd8

34229208 has 64 divisors (see below), whose sum is σ = 95155200. Its totient is φ = 10189440.

The previous prime is 34229201. The next prime is 34229233. The reversal of 34229208 is 80292243.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34229201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7903 + ... + 11441.

It is an arithmetic number, because the mean of its divisors is an integer number (1486800).

Almost surely, 234229208 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 34229208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47577600).

34229208 is an abundant number, since it is smaller than the sum of its proper divisors (60925992).

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

34229208 is a wasteful number, since it uses less digits than its factorization.

34229208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3592 (or 3588 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 34229208 is about 5850.5733052411. The cubic root of 34229208 is about 324.6875355814.

The spelling of 34229208 in words is "thirty-four million, two hundred twenty-nine thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 31 39 52 62 78 93 104 124 156 186 248 312 372 403 744 806 1209 1612 2418 3224 3539 4836 7078 9672 10617 14156 21234 28312 42468 46007 84936 92014 109709 138021 184028 219418 276042 329127 368056 438836 552084 658254 877672 1104168 1316508 1426217 2633016 2852434 4278651 5704868 8557302 11409736 17114604 34229208