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3243303420 = 2235719221391
BaseRepresentation
bin1100000101010000…
…1110000111111100
322101000211212212220
43001110032013330
523120241202140
61253455125340
7143241424050
oct30124160774
98330755786
103243303420
11141483a955
12766213850
133c8c20b66
1422aa5bc60
1513eb03bd0
hexc150e1fc

3243303420 has 144 divisors (see below), whose sum is σ = 10954073088. Its totient is φ = 702276480.

The previous prime is 3243303409. The next prime is 3243303431. The reversal of 3243303420 is 243033423.

It is an interprime number because it is at equal distance from previous prime (3243303409) and next prime (3243303431).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 140925 + ... + 162315.

It is an arithmetic number, because the mean of its divisors is an integer number (76069952).

Almost surely, 23243303420 is an apocalyptic number.

3243303420 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 3243303420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5477036544).

3243303420 is an abundant number, since it is smaller than the sum of its proper divisors (7710769668).

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

3243303420 is a wasteful number, since it uses less digits than its factorization.

3243303420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21448 (or 21427 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

The square root of 3243303420 is about 56950.0080772602. The cubic root of 3243303420 is about 1480.2299709598.

Adding to 3243303420 its reverse (243033423), we get a palindrome (3486336843).

The spelling of 3243303420 in words is "three billion, two hundred forty-three million, three hundred three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 19 20 21 28 30 35 38 42 57 60 70 76 84 95 105 114 133 140 190 210 228 266 285 361 380 399 420 532 570 665 722 798 1083 1140 1330 1444 1596 1805 1995 2166 2527 2660 3610 3990 4332 5054 5415 7220 7581 7980 10108 10830 12635 15162 21391 21660 25270 30324 37905 42782 50540 64173 75810 85564 106955 128346 149737 151620 213910 256692 299474 320865 406429 427820 449211 598948 641730 748685 812858 898422 1219287 1283460 1497370 1625716 1796844 2032145 2246055 2438574 2845003 2994740 4064290 4492110 4877148 5690006 6096435 7722151 8128580 8535009 8984220 11380012 12192870 14225015 15444302 17070018 23166453 24385740 28450030 30888604 34140036 38610755 42675045 46332906 54055057 56900060 77221510 85350090 92665812 108110114 115832265 154443020 162165171 170700180 216220228 231664530 270275285 324330342 463329060 540550570 648660684 810825855 1081101140 1621651710 3243303420