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34119168 = 29397229
BaseRepresentation
bin1000001000100…
…1111000000000
32101012102200220
42002021320000
532213303133
63215143040
7563002536
oct202117000
971172626
1034119168
1118294266
12b514a80
1370b7b75
144762156
152ede5b3
hex2089e00

34119168 has 80 divisors (see below), whose sum is σ = 92233680. Its totient is φ = 11206656.

The previous prime is 34119157. The next prime is 34119181. The reversal of 34119168 is 86191143.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 148878 + ... + 149106.

It is an arithmetic number, because the mean of its divisors is an integer number (1152921).

Almost surely, 234119168 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 34119168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46116840).

34119168 is an abundant number, since it is smaller than the sum of its proper divisors (58114512).

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

34119168 is an equidigital number, since it uses as much as digits as its factorization.

34119168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 331 counting only the distinct ones).

The product of its digits is 5184, while the sum is 33.

The square root of 34119168 is about 5841.1615283264. The cubic root of 34119168 is about 324.3392270870.

The spelling of 34119168 in words is "thirty-four million, one hundred nineteen thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 97 128 192 194 229 256 291 384 388 458 512 582 687 768 776 916 1164 1374 1536 1552 1832 2328 2748 3104 3664 4656 5496 6208 7328 9312 10992 12416 14656 18624 21984 22213 24832 29312 37248 43968 44426 49664 58624 66639 74496 87936 88852 117248 133278 148992 175872 177704 266556 351744 355408 533112 710816 1066224 1421632 2132448 2843264 4264896 5686528 8529792 11373056 17059584 34119168