Search a number
-
+
441432420 = 2235111351449
BaseRepresentation
bin11010010011111…
…011100101100100
31010202122002102220
4122103323211210
51401001314140
6111445232340
713640053662
oct3223734544
91122562386
10441432420
112071a4790
12103a026b0
13705ba120
14428abc32
1528b49bd0
hex1a4fb964

441432420 has 96 divisors (see below), whose sum is σ = 1452124800. Its totient is φ = 98780160.

The previous prime is 441432419. The next prime is 441432427. The reversal of 441432420 is 24234144.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (441432427) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17145 + ... + 34304.

It is an arithmetic number, because the mean of its divisors is an integer number (15126300).

Almost surely, 2441432420 is an apocalyptic number.

It is an amenable number.

441432420 is an abundant number, since it is smaller than the sum of its proper divisors (1010692380).

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

441432420 is a wasteful number, since it uses less digits than its factorization.

441432420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51485 (or 51483 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 441432420 is about 21010.2931916716. The cubic root of 441432420 is about 761.4149655565.

Adding to 441432420 its reverse (24234144), we get a palindrome (465666564).

The spelling of 441432420 in words is "four hundred forty-one million, four hundred thirty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 13 15 20 22 26 30 33 39 44 52 55 60 65 66 78 110 130 132 143 156 165 195 220 260 286 330 390 429 572 660 715 780 858 1430 1716 2145 2860 4290 8580 51449 102898 154347 205796 257245 308694 514490 565939 617388 668837 771735 1028980 1131878 1337674 1543470 1697817 2006511 2263756 2675348 2829695 3086940 3344185 3395634 4013022 5659390 6688370 6791268 7357207 8026044 8489085 10032555 11318780 13376740 14714414 16978170 20065110 22071621 29428828 33956340 36786035 40130220 44143242 73572070 88286484 110358105 147144140 220716210 441432420