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34321266 = 2337317109
BaseRepresentation
bin1000001011101…
…1001101110010
32101120200221000
42002323031302
532241240031
63223342430
7564504000
oct202731562
971520830
1034321266
1118412091
12b5b1a16
137158b55
1447b5a70
15302e3e6
hex20bb372

34321266 has 128 divisors (see below), whose sum is σ = 95040000. Its totient is φ = 9144576.

The previous prime is 34321253. The next prime is 34321289. The reversal of 34321266 is 66212343.

34321266 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 (27).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 314820 + ... + 314928.

It is an arithmetic number, because the mean of its divisors is an integer number (742500).

Almost surely, 234321266 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34321266, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47520000).

34321266 is an abundant number, since it is smaller than the sum of its proper divisors (60718734).

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

34321266 is a wasteful number, since it uses less digits than its factorization.

34321266 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 138 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 34321266 is about 5858.4354566727. The cubic root of 34321266 is about 324.9783527988.

It can be divided in two parts, 343 and 21266, that added together give a square (21609 = 1472).

The spelling of 34321266 in words is "thirty-four million, three hundred twenty-one thousand, two hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 49 51 54 63 98 102 109 119 126 147 153 189 218 238 294 306 327 343 357 378 441 459 654 686 714 763 833 882 918 981 1029 1071 1323 1526 1666 1853 1962 2058 2142 2289 2499 2646 2943 3087 3213 3706 4578 4998 5341 5559 5831 5886 6174 6426 6867 7497 9261 10682 11118 11662 12971 13734 14994 16023 16677 17493 18522 20601 22491 25942 32046 33354 34986 37387 38913 41202 44982 48069 50031 52479 74774 77826 90797 96138 100062 104958 112161 116739 144207 157437 181594 224322 233478 272391 288414 314874 336483 350217 544782 635579 672966 700434 817173 1009449 1271158 1634346 1906737 2018898 2451519 3813474 4903038 5720211 11440422 17160633 34321266