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424441332 = 223272298297
BaseRepresentation
bin11001010011000…
…111010111110100
31002120122212001100
4121103013113310
51332124110312
6110041130100
713342456200
oct3123072764
91076585040
10424441332
111a864a067
12ba189930
1369c1b423
1440527b00
15273e05dc
hex194c75f4

424441332 has 108 divisors (see below), whose sum is σ = 1291251780. Its totient is φ = 117073152.

The previous prime is 424441301. The next prime is 424441351. The reversal of 424441332 is 233144424.

It is a happy number.

424441332 is a `hidden beast` number, since 4 + 244 + 413 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 352463076 + 71978256 = 18774^2 + 8484^2 .

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 = 424441296 and 424441305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 47008 + ... + 55304.

It is an arithmetic number, because the mean of its divisors is an integer number (11956035).

Almost surely, 2424441332 is an apocalyptic number.

424441332 is a gapful number since it is divisible by the number (42) 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 424441332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645625890).

424441332 is an abundant number, since it is smaller than the sum of its proper divisors (866810448).

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

424441332 is a wasteful number, since it uses less digits than its factorization.

424441332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8350 (or 8338 counting only the distinct ones).

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

The square root of 424441332 is about 20601.9739830920. The cubic root of 424441332 is about 751.5177159792.

Adding to 424441332 its reverse (233144424), we get a palindrome (657585756).

The spelling of 424441332 in words is "four hundred twenty-four million, four hundred forty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 49 58 63 84 87 98 116 126 147 174 196 203 252 261 294 348 406 441 522 588 609 812 882 1044 1218 1421 1764 1827 2436 2842 3654 4263 5684 7308 8297 8526 12789 16594 17052 24891 25578 33188 49782 51156 58079 74673 99564 116158 149346 174237 232316 240613 298692 348474 406553 481226 522711 696948 721839 813106 962452 1045422 1219659 1443678 1626212 1684291 2090844 2165517 2439318 2887356 3368582 3658977 4331034 4878636 5052873 6737164 7317954 8662068 10105746 11790037 14635908 15158619 20211492 23580074 30317238 35370111 47160148 60634476 70740222 106110333 141480444 212220666 424441332