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34482168 = 23327312207
BaseRepresentation
bin1000001110001…
…0011111111000
32101212212122100
42003202133320
532311412133
63231023400
7566044050
oct203423770
971785570
1034482168
1118511a66
12b66ab60
1371b4166
144818560
153061e13
hex20e27f8

34482168 has 96 divisors (see below), whose sum is σ = 110223360. Its totient is φ = 9529920.

The previous prime is 34482167. The next prime is 34482191. The reversal of 34482168 is 86128443.

34482168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34482167) 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, 14521 + ... + 16727.

It is an arithmetic number, because the mean of its divisors is an integer number (1148160).

Almost surely, 234482168 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 34482168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55111680).

34482168 is an abundant number, since it is smaller than the sum of its proper divisors (75741192).

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

34482168 is a wasteful number, since it uses less digits than its factorization.

34482168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2257 (or 2250 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 34482168 is about 5872.1519053921. The cubic root of 34482168 is about 325.4854064118.

The spelling of 34482168 in words is "thirty-four million, four hundred eighty-two thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 31 36 42 56 62 63 72 84 93 124 126 168 186 217 248 252 279 372 434 504 558 651 744 868 1116 1302 1736 1953 2207 2232 2604 3906 4414 5208 6621 7812 8828 13242 15449 15624 17656 19863 26484 30898 39726 46347 52968 61796 68417 79452 92694 123592 136834 139041 158904 185388 205251 273668 278082 370776 410502 478919 547336 556164 615753 821004 957838 1112328 1231506 1436757 1642008 1915676 2463012 2873514 3831352 4310271 4926024 5747028 8620542 11494056 17241084 34482168