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34128486 = 23371747113
BaseRepresentation
bin1000001000110…
…0001001100110
32101012220111000
42002030021212
532214102421
63215254130
7563041650
oct202141146
971186430
1034128486
11182a0267
12b51a346
1370bc192
1447656d0
152ee2226
hex208c266

34128486 has 128 divisors (see below), whose sum is σ = 94556160. Its totient is φ = 8902656.

The previous prime is 34128443. The next prime is 34128509. The reversal of 34128486 is 68482143.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 34128486.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 301966 + ... + 302078.

It is an arithmetic number, because the mean of its divisors is an integer number (738720).

Almost surely, 234128486 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34128486, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47278080).

34128486 is an abundant number, since it is smaller than the sum of its proper divisors (60427674).

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

34128486 is a wasteful number, since it uses less digits than its factorization.

34128486 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 189 counting only the distinct ones).

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

The square root of 34128486 is about 5841.9590892097. The cubic root of 34128486 is about 324.3687502555.

The spelling of 34128486 in words is "thirty-four million, one hundred twenty-eight thousand, four hundred eighty-six".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 47 51 54 63 94 102 113 119 126 141 153 189 226 238 282 306 329 339 357 378 423 459 658 678 714 791 799 846 918 987 1017 1071 1269 1582 1598 1921 1974 2034 2142 2373 2397 2538 2961 3051 3213 3842 4746 4794 5311 5593 5763 5922 6102 6426 7119 7191 8883 10622 11186 11526 13447 14238 14382 15933 16779 17289 17766 21357 21573 26894 31866 33558 34578 37177 40341 42714 43146 47799 50337 51867 74354 80682 90287 95598 100674 103734 111531 121023 143397 151011 180574 223062 242046 270861 286794 302022 334593 363069 541722 632009 669186 726138 812583 1003779 1264018 1625166 1896027 2007558 2437749 3792054 4875498 5688081 11376162 17064243 34128486