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144432 = 24321759
BaseRepresentation
bin100011010000110000
321100010100
4203100300
514110212
63032400
71141041
oct432060
9240110
10144432
1199572
126b700
1350982
143a8c8
152cbdc
hex23430

144432 has 60 divisors (see below), whose sum is σ = 435240. Its totient is φ = 44544.

The previous prime is 144427. The next prime is 144439. The reversal of 144432 is 234441.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

144432 is a modest number, since divided by 432 gives 144 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144439) by changing a digit.

144432 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2419 + ... + 2477.

It is an arithmetic number, because the mean of its divisors is an integer number (7254).

2144432 is an apocalyptic number.

144432 is a gapful number since it is divisible by the number (12) 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 144432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217620).

144432 is an abundant number, since it is smaller than the sum of its proper divisors (290808).

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

144432 is a wasteful number, since it uses less digits than its factorization.

144432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 81 counting only the distinct ones).

The product of its digits is 384, while the sum is 18.

The square root of 144432 is about 380.0421029307. The cubic root of 144432 is about 52.4671903844.

Adding to 144432 its reverse (234441), we get a palindrome (378873).

Subtracting 144432 from its reverse (234441), we obtain a palindrome (90009).

It can be divided in two parts, 144 and 432, that added together give a square (576 = 242).

The spelling of 144432 in words is "one hundred forty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 59 68 72 102 118 136 144 153 177 204 236 272 306 354 408 472 531 612 708 816 944 1003 1062 1224 1416 2006 2124 2448 2832 3009 4012 4248 6018 8024 8496 9027 12036 16048 18054 24072 36108 48144 72216 144432