Search a number
-
+
3241805490 = 234571151977
BaseRepresentation
bin1100000100111010…
…0000011010110010
322100221000210010000
43001032200122302
523114400233430
61253403050430
7143222614650
oct30116403262
98327023100
103241805490
111413a074a0
12765810a16
133c8818101
1422a78bdd0
1513e909e60
hexc13a06b2

3241805490 has 160 divisors (see below), whose sum is σ = 10867976064. Its totient is φ = 673608960.

The previous prime is 3241805471. The next prime is 3241805491. The reversal of 3241805490 is 945081423.

3241805490 is a `hidden beast` number, since 32 + 4 + 1 + 80 + 549 + 0 = 666.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3241805491) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 36382 + ... + 88358.

Almost surely, 23241805490 is an apocalyptic number.

3241805490 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3241805490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5433988032).

3241805490 is an abundant number, since it is smaller than the sum of its proper divisors (7626170574).

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

3241805490 is a wasteful number, since it uses less digits than its factorization.

3241805490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52014 (or 52005 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 3241805490 is about 56936.8552872390. The cubic root of 3241805490 is about 1480.0020528946.

The spelling of 3241805490 in words is "three billion, two hundred forty-one million, eight hundred five thousand, four hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 11 14 15 18 21 22 27 30 33 35 42 45 54 55 63 66 70 77 81 90 99 105 110 126 135 154 162 165 189 198 210 231 270 297 315 330 378 385 405 462 495 567 594 630 693 770 810 891 945 990 1134 1155 1386 1485 1782 1890 2079 2310 2835 2970 3465 4158 4455 5670 6237 6930 8910 10395 12474 20790 31185 51977 62370 103954 155931 259885 311862 363839 467793 519770 571747 727678 779655 935586 1091517 1143494 1403379 1559310 1715241 1819195 2183034 2338965 2806758 2858735 3274551 3430482 3638390 4002229 4210137 4677930 5145723 5457585 5717470 6549102 7016895 8004458 8420274 8576205 9823653 10291446 10915170 12006687 14033790 15437169 16372755 17152410 19647306 20011145 21050685 24013374 25728615 29470959 30874338 32745510 36020061 40022290 42101370 46311507 49118265 51457230 58941918 60033435 72040122 77185845 92623014 98236530 108060183 120066870 147354795 154371690 180100305 216120366 231557535 294709590 324180549 360200610 463115070 540300915 648361098 1080601830 1620902745 3241805490