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443484340 = 225132576637
BaseRepresentation
bin11010011011110…
…000100010110100
31010220111100010221
4122123300202310
51402012444330
6112001224124
713663361155
oct3233604264
91126440127
10443484340
11208376392
12104632044
1370b58090
1442c8392c
1528e02b7a
hex1a6f08b4

443484340 has 48 divisors (see below), whose sum is σ = 1007011152. Its totient is φ = 163086336.

The previous prime is 443484329. The next prime is 443484341. The reversal of 443484340 is 43484344.

It can be written as a sum of positive squares in 8 ways, for example, as 31069476 + 412414864 = 5574^2 + 20308^2 .

It is a junction number, because it is equal to n+sod(n) for n = 443484296 and 443484305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (443484341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63502 + ... + 70138.

It is an arithmetic number, because the mean of its divisors is an integer number (20979399).

Almost surely, 2443484340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 443484340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503505576).

443484340 is an abundant number, since it is smaller than the sum of its proper divisors (563526812).

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

443484340 is a wasteful number, since it uses less digits than its factorization.

443484340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6916 (or 6914 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 34.

The square root of 443484340 is about 21059.0678806067. The cubic root of 443484340 is about 762.5929095780.

The spelling of 443484340 in words is "four hundred forty-three million, four hundred eighty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 257 260 514 1028 1285 2570 3341 5140 6637 6682 13274 13364 16705 26548 33185 33410 66370 66820 86281 132740 172562 345124 431405 862810 1705709 1725620 3411418 6822836 8528545 17057090 22174217 34114180 44348434 88696868 110871085 221742170 443484340