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350011116 = 2232721315263
BaseRepresentation
bin10100110111001…
…011111011101100
3220101121101222200
4110313023323230
51204100323431
654421541500
711450021400
oct2467137354
9811541880
10350011116
1116a632594
1299274890
135768b290
14346b1100
1520adbee6
hex14dcbeec

350011116 has 108 divisors (see below), whose sum is σ = 1108441152. Its totient is φ = 92304576.

The previous prime is 350011091. The next prime is 350011153. The reversal of 350011116 is 611110053.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15301 + ... + 30563.

It is an arithmetic number, because the mean of its divisors is an integer number (10263344).

Almost surely, 2350011116 is an apocalyptic number.

350011116 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 350011116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554220576).

350011116 is an abundant number, since it is smaller than the sum of its proper divisors (758430036).

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

350011116 is a wasteful number, since it uses less digits than its factorization.

350011116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15300 (or 15288 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 350011116 is about 18708.5840191074. The cubic root of 350011116 is about 704.7373338678.

Adding to 350011116 its reverse (611110053), we get a palindrome (961121169).

The spelling of 350011116 in words is "three hundred fifty million, eleven thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 49 52 63 78 84 91 98 117 126 147 156 182 196 234 252 273 294 364 441 468 546 588 637 819 882 1092 1274 1638 1764 1911 2548 3276 3822 5733 7644 11466 15263 22932 30526 45789 61052 91578 106841 137367 183156 198419 213682 274734 320523 396838 427364 549468 595257 641046 747887 793676 961569 1190514 1282092 1388933 1495774 1785771 1923138 2243661 2381028 2777866 2991548 3571542 3846276 4166799 4487322 5555732 6730983 7143084 8333598 8974644 9722531 12500397 13461966 16667196 19445062 25000794 26923932 29167593 38890124 50001588 58335186 87502779 116670372 175005558 350011116