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343304220 = 223571097499
BaseRepresentation
bin10100011101100…
…110100000011100
3212220222122212010
4110131212200130
51200341213340
654022111220
711336015640
oct2435464034
9786878763
10343304220
111668715a6
1296b7b510
13561805bc
1433846c20
1520214b80
hex1476681c

343304220 has 96 divisors (see below), whose sum is σ = 1108800000. Its totient is φ = 77739264.

The previous prime is 343304201. The next prime is 343304251. The reversal of 343304220 is 22403343.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 42031 + ... + 49529.

It is an arithmetic number, because the mean of its divisors is an integer number (11550000).

Almost surely, 2343304220 is an apocalyptic number.

343304220 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 343304220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554400000).

343304220 is an abundant number, since it is smaller than the sum of its proper divisors (765495780).

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

343304220 is a wasteful number, since it uses less digits than its factorization.

343304220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7627 (or 7625 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

The square root of 343304220 is about 18528.4705251135. The cubic root of 343304220 is about 700.2068912264.

Adding to 343304220 its reverse (22403343), we get a palindrome (365707563).

The spelling of 343304220 in words is "three hundred forty-three million, three hundred four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 109 140 210 218 327 420 436 545 654 763 1090 1308 1526 1635 2180 2289 3052 3270 3815 4578 6540 7499 7630 9156 11445 14998 15260 22497 22890 29996 37495 44994 45780 52493 74990 89988 104986 112485 149980 157479 209972 224970 262465 314958 449940 524930 629916 787395 817391 1049860 1574790 1634782 2452173 3149580 3269564 4086955 4904346 5721737 8173910 9808692 11443474 12260865 16347820 17165211 22886948 24521730 28608685 34330422 49043460 57217370 68660844 85826055 114434740 171652110 343304220