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444240432 = 24328393677
BaseRepresentation
bin11010011110101…
…001001000110000
31010221220202022100
4122132221020300
51402211143212
6112025340400
714002660416
oct3236511060
91127822270
10444240432
11208842459
12104937700
137106127c
1442ddd2b6
1529001bdc
hex1a7a9230

444240432 has 60 divisors (see below), whose sum is σ = 1245076560. Its totient is φ = 147863424.

The previous prime is 444240431. The next prime is 444240451. The reversal of 444240432 is 234042444.

It is a happy number.

It is a super-2 number, since 2×4442404322 = 394699122847093248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 444240396 and 444240405.

It is not an unprimeable number, because it can be changed into a prime (444240431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 118978 + ... + 122654.

It is an arithmetic number, because the mean of its divisors is an integer number (20751276).

Almost surely, 2444240432 is an apocalyptic number.

It is an amenable number.

444240432 is an abundant number, since it is smaller than the sum of its proper divisors (800836128).

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

444240432 is a wasteful number, since it uses less digits than its factorization.

444240432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4530 (or 4521 counting only the distinct ones).

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

The square root of 444240432 is about 21077.0119324348. The cubic root of 444240432 is about 763.0260425223.

Adding to 444240432 its reverse (234042444), we get a palindrome (678282876).

The spelling of 444240432 in words is "four hundred forty-four million, two hundred forty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 839 1678 2517 3356 3677 5034 6712 7354 7551 10068 11031 13424 14708 15102 20136 22062 29416 30204 33093 40272 44124 58832 60408 66186 88248 120816 132372 176496 264744 529488 3085003 6170006 9255009 12340012 18510018 24680024 27765027 37020036 49360048 55530054 74040072 111060108 148080144 222120216 444240432