Search a number
-
+
443430040 = 23517289431
BaseRepresentation
bin11010011011100…
…011010010011000
31010220101120122211
4122123203102120
51402004230130
6112000124504
713663043644
oct3233432230
91126346584
10443430040
11208339609
12104606734
1370b39451
1442c6bc24
1528de1a2a
hex1a6e3498

443430040 has 96 divisors (see below), whose sum is σ = 1074254400. Its totient is φ = 164679680.

The previous prime is 443430019. The next prime is 443430049. The reversal of 443430040 is 40034344.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 443429993 and 443430020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (443430049) 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, 1028625 + ... + 1029055.

It is an arithmetic number, because the mean of its divisors is an integer number (11190150).

Almost surely, 2443430040 is an apocalyptic number.

443430040 is a gapful number since it is divisible by the number (40) 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 443430040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537127200).

443430040 is an abundant number, since it is smaller than the sum of its proper divisors (630824360).

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

443430040 is a wasteful number, since it uses less digits than its factorization.

443430040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 443430040 is about 21057.7786102903. The cubic root of 443430040 is about 762.5617844767.

Adding to 443430040 its reverse (40034344), we get a palindrome (483464384).

The spelling of 443430040 in words is "four hundred forty-three million, four hundred thirty thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 89 136 170 178 289 340 356 431 445 578 680 712 862 890 1156 1445 1513 1724 1780 2155 2312 2890 3026 3448 3560 4310 5780 6052 7327 7565 8620 11560 12104 14654 15130 17240 25721 29308 30260 36635 38359 51442 58616 60520 73270 76718 102884 124559 128605 146540 153436 191795 205768 249118 257210 293080 306872 383590 498236 514420 622795 652103 767180 996472 1028840 1245590 1304206 1534360 2491180 2608412 3260515 4982360 5216824 6521030 11085751 13042060 22171502 26084120 44343004 55428755 88686008 110857510 221715020 443430040