Search a number
-
+
443400030 = 232516729501
BaseRepresentation
bin11010011011011…
…011111101011110
31010220100001111100
4122123123331132
51402002300110
6111555333530
713662560313
oct3233337536
91126301440
10443400030
11208319007
121045b12a6
1370b288a8
1442c60d0a
1528dd7bc0
hex1a6dbf5e

443400030 has 48 divisors (see below), whose sum is σ = 1159782624. Its totient is φ = 117528000.

The previous prime is 443399989. The next prime is 443400031. The reversal of 443400030 is 30004344.

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 = 443399976 and 443400012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (443400031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 280 + ... + 29780.

It is an arithmetic number, because the mean of its divisors is an integer number (24162138).

Almost surely, 2443400030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 443400030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579891312).

443400030 is an abundant number, since it is smaller than the sum of its proper divisors (716382594).

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

443400030 is a wasteful number, since it uses less digits than its factorization.

443400030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29681 (or 29678 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 443400030 is about 21057.0660349442. The cubic root of 443400030 is about 762.5445814658.

Adding to 443400030 its reverse (30004344), we get a palindrome (473404374).

The spelling of 443400030 in words is "four hundred forty-three million, four hundred thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 167 334 501 835 1002 1503 1670 2505 3006 5010 7515 15030 29501 59002 88503 147505 177006 265509 295010 442515 531018 885030 1327545 2655090 4926667 9853334 14780001 24633335 29560002 44340003 49266670 73900005 88680006 147800010 221700015 443400030