Search a number
-
+
443140368 = 243117311497
BaseRepresentation
bin11010011010011…
…100100100010000
31010212211212022020
4122122130210100
51401420442433
6111550011440
713660426266
oct3232344420
91125755266
10443140368
11208160a10
121044a6b80
1370a67648
1442bd4436
1528d85cb3
hex1a69c910

443140368 has 80 divisors (see below), whose sum is σ = 1266067776. Its totient is φ = 132433920.

The previous prime is 443140331. The next prime is 443140391. The reversal of 443140368 is 863041344.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32796 + ... + 44292.

Almost surely, 2443140368 is an apocalyptic number.

443140368 is a gapful number since it is divisible by the number (48) 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 443140368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633033888).

443140368 is an abundant number, since it is smaller than the sum of its proper divisors (822927408).

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

443140368 is a wasteful number, since it uses less digits than its factorization.

443140368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11592 (or 11586 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 443140368 is about 21050.8994582179. The cubic root of 443140368 is about 762.3956997174.

The spelling of 443140368 in words is "four hundred forty-three million, one hundred forty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 73 88 132 146 176 219 264 292 438 528 584 803 876 1168 1606 1752 2409 3212 3504 4818 6424 9636 11497 12848 19272 22994 34491 38544 45988 68982 91976 126467 137964 183952 252934 275928 379401 505868 551856 758802 839281 1011736 1517604 1678562 2023472 2517843 3035208 3357124 5035686 6070416 6714248 9232091 10071372 13428496 18464182 20142744 27696273 36928364 40285488 55392546 73856728 110785092 147713456 221570184 443140368