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3405644060 = 2257213220563
BaseRepresentation
bin1100101011111110…
…0000000100011100
322210100022122101012
43022333200010130
523433321102220
61321534434352
7150252332300
oct31277400434
98710278335
103405644060
111498440875
127b06629b8
13423750b00
14244439d00
1514debeac5
hexcafe011c

3405644060 has 108 divisors (see below), whose sum is σ = 9009129528. Its totient is φ = 1077777792.

The previous prime is 3405644057. The next prime is 3405644117. The reversal of 3405644060 is 604465043.

It is a super-2 number, since 2×34056440602 = 23196822926826567200, which contains 22 as substring.

It is a congruent number.

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, 155339 + ... + 175901.

It is an arithmetic number, because the mean of its divisors is an integer number (83417866).

Almost surely, 23405644060 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3405644060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4504564764).

3405644060 is an abundant number, since it is smaller than the sum of its proper divisors (5603485468).

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

3405644060 is a wasteful number, since it uses less digits than its factorization.

3405644060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20612 (or 20590 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

The square root of 3405644060 is about 58357.8962951887. The cubic root of 3405644060 is about 1504.5261894099.

The spelling of 3405644060 in words is "three billion, four hundred five million, six hundred forty-four thousand, sixty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 49 52 65 70 91 98 130 140 169 182 196 245 260 338 364 455 490 637 676 845 910 980 1183 1274 1690 1820 2366 2548 3185 3380 4732 5915 6370 8281 11830 12740 16562 20563 23660 33124 41126 41405 82252 82810 102815 143941 165620 205630 267319 287882 411260 534638 575764 719705 1007587 1069276 1336595 1439410 1871233 2015174 2673190 2878820 3475147 3742466 4030348 5037935 5346380 6950294 7484932 9356165 10075870 13098631 13900588 17375735 18712330 20151740 24326029 26197262 34751470 37424660 48652058 52394524 65493155 69502940 97304116 121630145 130986310 170282203 243260290 261972620 340564406 486520580 681128812 851411015 1702822030 3405644060