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144024 = 23317353
BaseRepresentation
bin100011001010011000
321022120020
4203022120
514102044
63030440
71136616
oct431230
9238506
10144024
1199231
126b420
135072a
143a6b6
152ca19
hex23298

144024 has 32 divisors (see below), whose sum is σ = 382320. Its totient is φ = 45056.

The previous prime is 144013. The next prime is 144031. The reversal of 144024 is 420441.

It is a junction number, because it is equal to n+sod(n) for n = 143994 and 144012.

It is a congruent number.

It is an unprimeable number.

144024 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 232 + ... + 584.

2144024 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 144024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191160).

144024 is an abundant number, since it is smaller than the sum of its proper divisors (238296).

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

144024 is a wasteful number, since it uses less digits than its factorization.

144024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 144024 is about 379.5049406793. The cubic root of 144024 is about 52.4177396573.

Adding to 144024 its reverse (420441), we get a palindrome (564465).

The spelling of 144024 in words is "one hundred forty-four thousand, twenty-four", and thus it is an iban number.

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 353 408 706 1059 1412 2118 2824 4236 6001 8472 12002 18003 24004 36006 48008 72012 144024