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34664112 = 243473821
BaseRepresentation
bin1000010000111…
…0111010110000
32102020010020000
42010032322300
532333222422
63234550000
7600432360
oct204167260
972203200
1034664112
111862672a
12b738300
137248c12
1448649a0
15309acac
hex210eeb0

34664112 has 100 divisors (see below), whose sum is σ = 114690576. Its totient is φ = 9901440.

The previous prime is 34664101. The next prime is 34664129. The reversal of 34664112 is 21146643.

34664112 is a `hidden beast` number, since 3 + 4 + 6 + 641 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 7162 + ... + 10982.

Almost surely, 234664112 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 34664112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57345288).

34664112 is an abundant number, since it is smaller than the sum of its proper divisors (80026464).

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

34664112 is a wasteful number, since it uses less digits than its factorization.

34664112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3848 (or 3833 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 34664112 is about 5887.6236292752. The cubic root of 34664112 is about 326.0568734126.

The spelling of 34664112 in words is "thirty-four million, six hundred sixty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 252 324 336 378 432 504 567 648 756 1008 1134 1296 1512 2268 3024 3821 4536 7642 9072 11463 15284 22926 26747 30568 34389 45852 53494 61136 68778 80241 91704 103167 106988 137556 160482 183408 206334 213976 240723 275112 309501 320964 412668 427952 481446 550224 619002 641928 722169 825336 962892 1238004 1283856 1444338 1650672 1925784 2166507 2476008 2888676 3851568 4333014 4952016 5777352 8666028 11554704 17332056 34664112