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3241980 = 2232573183
BaseRepresentation
bin1100010111011111111100
320002201011100
430113133330
51312220410
6153253100
736361560
oct14273774
96081140
103241980
111914825
121104190
13896841
146056a0
154408c0
hex3177fc

3241980 has 144 divisors (see below), whose sum is σ = 11741184. Its totient is φ = 708480.

The previous prime is 3241969. The next prime is 3241981. The reversal of 3241980 is 891423.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3241981) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39019 + ... + 39101.

It is an arithmetic number, because the mean of its divisors is an integer number (81536).

Almost surely, 23241980 is an apocalyptic number.

3241980 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 3241980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5870592).

3241980 is an abundant number, since it is smaller than the sum of its proper divisors (8499204).

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

3241980 is a wasteful number, since it uses less digits than its factorization.

3241980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 3241980 is about 1800.5499159979. The cubic root of 3241980 is about 148.0028609138.

It can be divided in two parts, 324 and 1980, that added together give a square (2304 = 482).

The spelling of 3241980 in words is "three million, two hundred forty-one thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 31 35 36 42 45 60 62 63 70 83 84 90 93 105 124 126 140 155 166 180 186 210 217 249 252 279 310 315 332 372 415 420 434 465 498 558 581 620 630 651 747 830 868 930 996 1085 1116 1162 1245 1260 1302 1395 1494 1660 1743 1860 1953 2170 2324 2490 2573 2604 2790 2905 2988 3255 3486 3735 3906 4340 4980 5146 5229 5580 5810 6510 6972 7470 7719 7812 8715 9765 10292 10458 11620 12865 13020 14940 15438 17430 18011 19530 20916 23157 25730 26145 30876 34860 36022 38595 39060 46314 51460 52290 54033 72044 77190 90055 92628 104580 108066 115785 154380 162099 180110 216132 231570 270165 324198 360220 463140 540330 648396 810495 1080660 1620990 3241980