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34664322 = 23711219359
BaseRepresentation
bin1000010000111…
…0111110000010
32102020010111210
42010032332002
532333224242
63234550550
7600433110
oct204167602
972203453
1034664322
1118626900
12b738456
137249044
144864ab0
15309ad9c
hex210ef82

34664322 has 96 divisors (see below), whose sum is σ = 91929600. Its totient is φ = 8506080.

The previous prime is 34664297. The next prime is 34664323. The reversal of 34664322 is 22346643.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 34664322.

It is not an unprimeable number, because it can be changed into a prime (34664323) 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 47 ways as a sum of consecutive naturals, for example, 96379 + ... + 96737.

It is an arithmetic number, because the mean of its divisors is an integer number (957600).

Almost surely, 234664322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34664322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45964800).

34664322 is an abundant number, since it is smaller than the sum of its proper divisors (57265278).

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

34664322 is a wasteful number, since it uses less digits than its factorization.

34664322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 401 counting only the distinct ones).

The product of its digits is 20736, while the sum is 30.

The square root of 34664322 is about 5887.6414632686. The cubic root of 34664322 is about 326.0575318439.

The spelling of 34664322 in words is "thirty-four million, six hundred sixty-four thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 11 14 19 21 22 33 38 42 57 66 77 114 121 133 154 209 231 242 266 359 363 399 418 462 627 718 726 798 847 1077 1254 1463 1694 2154 2299 2513 2541 2926 3949 4389 4598 5026 5082 6821 6897 7539 7898 8778 11847 13642 13794 15078 16093 20463 23694 27643 32186 40926 43439 47747 48279 55286 75031 82929 86878 95494 96558 130317 143241 150062 165858 225093 260634 286482 304073 450186 525217 608146 825341 912219 1050434 1575651 1650682 1824438 2476023 3151302 4952046 5777387 11554774 17332161 34664322