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34126260 = 22357193421
BaseRepresentation
bin1000001000101…
…1100110110100
32101012210102120
42002023212310
532214020020
63215235540
7563032320
oct202134664
971183376
1034126260
1118299623
12b518bb0
1370bb16c
144764980
152ee1740
hex208b9b4

34126260 has 96 divisors (see below), whose sum is σ = 110030592. Its totient is φ = 7741440.

The previous prime is 34126231. The next prime is 34126271. The reversal of 34126260 is 6262143.

It is a self number, because there is not a number n which added to its sum of digits gives 34126260.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 80850 + ... + 81270.

It is an arithmetic number, because the mean of its divisors is an integer number (1146152).

Almost surely, 234126260 is an apocalyptic number.

34126260 is a gapful number since it is divisible by the number (30) 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 34126260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55015296).

34126260 is an abundant number, since it is smaller than the sum of its proper divisors (75904332).

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

34126260 is a wasteful number, since it uses less digits than its factorization.

34126260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 34126260 is about 5841.7685678226. The cubic root of 34126260 is about 324.3616978815.

The spelling of 34126260 in words is "thirty-four million, one hundred twenty-six thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 193 210 386 420 421 579 772 842 965 1158 1263 1351 1684 1930 2105 2316 2526 2702 2895 2947 3860 4053 4210 5052 5404 5790 5894 6315 6755 8106 8420 8841 11580 11788 12630 13510 14735 16212 17682 20265 25260 27020 29470 35364 40530 44205 58940 81060 81253 88410 162506 176820 243759 325012 406265 487518 568771 812530 975036 1137542 1218795 1625060 1706313 2275084 2437590 2843855 3412626 4875180 5687710 6825252 8531565 11375420 17063130 34126260