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441423432 = 23345312853
BaseRepresentation
bin11010010011111…
…001011001001000
31010202121122010000
4122103321121020
51401001022212
6111445123000
713640015532
oct3223713110
91122548100
10441423432
11207198a5a
121039b9460
13705b5cc8
14428a8852
1528b471dc
hex1a4f9648

441423432 has 80 divisors (see below), whose sum is σ = 1259820540. Its totient is φ = 144353664.

The previous prime is 441423407. The next prime is 441423443. The reversal of 441423432 is 234324144.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 441252036 + 171396 = 21006^2 + 414^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 441423396 and 441423405.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 27918 + ... + 40770.

Almost surely, 2441423432 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 441423432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629910270).

441423432 is an abundant number, since it is smaller than the sum of its proper divisors (818397108).

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

441423432 is a wasteful number, since it uses less digits than its factorization.

441423432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12924 (or 12911 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The square root of 441423432 is about 21010.0792954239. The cubic root of 441423432 is about 761.4097978012.

Adding to 441423432 its reverse (234324144), we get a palindrome (675747576).

It can be divided in two parts, 44142 and 3432, that added together give a palindrome (47574).

The spelling of 441423432 in words is "four hundred forty-one million, four hundred twenty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 53 54 72 81 106 108 159 162 212 216 318 324 424 477 636 648 954 1272 1431 1908 2862 3816 4293 5724 8586 11448 12853 17172 25706 34344 38559 51412 77118 102824 115677 154236 231354 308472 347031 462708 681209 694062 925416 1041093 1362418 1388124 2043627 2082186 2724836 2776248 4087254 4164372 5449672 6130881 8174508 8328744 12261762 16349016 18392643 24523524 36785286 49047048 55177929 73570572 110355858 147141144 220711716 441423432