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3283020 = 22325132361
BaseRepresentation
bin1100100001100001001100
320011210110100
430201201030
51320024040
6154211100
736622326
oct14414114
96153410
103283020
111942644
121123a90
138ac420
14616616
1544cb30
hex32184c

3283020 has 144 divisors (see below), whose sum is σ = 11374272. Its totient is φ = 760320.

The previous prime is 3283019. The next prime is 3283031. The reversal of 3283020 is 203823.

3283020 is nontrivially palindromic in base 14.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3282984 and 3283002.

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, 53790 + ... + 53850.

It is an arithmetic number, because the mean of its divisors is an integer number (78988).

Almost surely, 23283020 is an apocalyptic number.

3283020 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 3283020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5687136).

3283020 is an abundant number, since it is smaller than the sum of its proper divisors (8091252).

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

3283020 is a wasteful number, since it uses less digits than its factorization.

3283020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3283020 is about 1811.9105938208. The cubic root of 3283020 is about 148.6247633605.

Adding to 3283020 its reverse (203823), we get a palindrome (3486843).

The spelling of 3283020 in words is "three million, two hundred eighty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 23 26 30 36 39 45 46 52 60 61 65 69 78 90 92 115 117 122 130 138 156 180 183 195 207 230 234 244 260 276 299 305 345 366 390 414 460 468 549 585 598 610 690 732 780 793 828 897 915 1035 1098 1170 1196 1220 1380 1403 1495 1586 1794 1830 2070 2196 2340 2379 2691 2745 2806 2990 3172 3588 3660 3965 4140 4209 4485 4758 5382 5490 5612 5980 7015 7137 7930 8418 8970 9516 10764 10980 11895 12627 13455 14030 14274 15860 16836 17940 18239 21045 23790 25254 26910 28060 28548 35685 36478 42090 47580 50508 53820 54717 63135 71370 72956 84180 91195 109434 126270 142740 164151 182390 218868 252540 273585 328302 364780 547170 656604 820755 1094340 1641510 3283020