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423042444 = 2232113493061
BaseRepresentation
bin11001001101110…
…001110110001100
31002111000210010200
4121031301312030
51331244324234
6105551133500
713324541616
oct3115616614
91074023120
10423042444
111a7884060
12b9814290
136984b796
1440281db6
1527215d99
hex19371d8c

423042444 has 72 divisors (see below), whose sum is σ = 1170296400. Its totient is φ = 127785600.

The previous prime is 423042419. The next prime is 423042457. The reversal of 423042444 is 444240324.

It is a happy number.

423042444 is a `hidden beast` number, since 4 + 230 + 424 + 4 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136674 + ... + 139734.

Almost surely, 2423042444 is an apocalyptic number.

423042444 is a gapful number since it is divisible by the number (44) 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 423042444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585148200).

423042444 is an abundant number, since it is smaller than the sum of its proper divisors (747253956).

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

423042444 is a wasteful number, since it uses less digits than its factorization.

423042444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3431 (or 3426 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

The square root of 423042444 is about 20567.9956242702. The cubic root of 423042444 is about 750.6911814952.

Adding to 423042444 its reverse (444240324), we get a palindrome (867282768).

The spelling of 423042444 in words is "four hundred twenty-three million, forty-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 349 396 698 1047 1396 2094 3061 3141 3839 4188 6122 6282 7678 9183 11517 12244 12564 15356 18366 23034 27549 33671 34551 36732 46068 55098 67342 69102 101013 110196 134684 138204 202026 303039 404052 606078 1068289 1212156 2136578 3204867 4273156 6409734 9614601 11751179 12819468 19229202 23502358 35253537 38458404 47004716 70507074 105760611 141014148 211521222 423042444