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3224043420 = 22351321092917
BaseRepresentation
bin1100000000101010…
…1111111110011100
322022200121101010120
43000022233332130
523100323342140
61251530234540
7142615626333
oct30012577634
98280541116
103224043420
1114049855a4
1275b885a50
133c4c39500
14228286d1a
1513d09c1d0
hexc02aff9c

3224043420 has 144 divisors (see below), whose sum is σ = 9868209120. Its totient is φ = 786060288.

The previous prime is 3224043413. The next prime is 3224043457. The reversal of 3224043420 is 243404223.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1103802 + ... + 1106718.

It is an arithmetic number, because the mean of its divisors is an integer number (68529230).

Almost surely, 23224043420 is an apocalyptic number.

3224043420 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 3224043420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4934104560).

3224043420 is an abundant number, since it is smaller than the sum of its proper divisors (6644165700).

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

3224043420 is a wasteful number, since it uses less digits than its factorization.

3224043420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3064 (or 3049 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 3224043420 is about 56780.6606160936. The cubic root of 3224043420 is about 1477.2940909395.

Adding to 3224043420 its reverse (243404223), we get a palindrome (3467447643).

The spelling of 3224043420 in words is "three billion, two hundred twenty-four million, forty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 109 130 156 169 195 218 260 327 338 390 436 507 545 654 676 780 845 1014 1090 1308 1417 1635 1690 2028 2180 2535 2834 2917 3270 3380 4251 5070 5668 5834 6540 7085 8502 8751 10140 11668 14170 14585 17004 17502 18421 21255 28340 29170 35004 36842 37921 42510 43755 55263 58340 73684 75842 85020 87510 92105 110526 113763 151684 175020 184210 189605 221052 227526 276315 317953 368420 379210 455052 492973 552630 568815 635906 758420 953859 985946 1105260 1137630 1271812 1478919 1589765 1907718 1971892 2275260 2464865 2957838 3179530 3815436 4133389 4769295 4929730 5915676 6359060 7394595 8266778 9538590 9859460 12400167 14789190 16533556 19077180 20666945 24800334 29578380 41333890 49600668 53734057 62000835 82667780 107468114 124001670 161202171 214936228 248003340 268670285 322404342 537340570 644808684 806010855 1074681140 1612021710 3224043420