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144300 = 223521337
BaseRepresentation
bin100011001110101100
321022221110
4203032230
514104200
63032020
71140462
oct431654
9238843
10144300
1199462
126b610
13508b0
143a832
152cb50
hex233ac

144300 has 72 divisors (see below), whose sum is σ = 461776. Its totient is φ = 34560.

The previous prime is 144299. The next prime is 144307. The reversal of 144300 is 3441.

144300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3882 + ... + 3918.

2144300 is an apocalyptic number.

144300 is a gapful number since it is divisible by the number (10) 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 144300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230888).

144300 is an abundant number, since it is smaller than the sum of its proper divisors (317476).

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

144300 is a wasteful number, since it uses less digits than its factorization.

144300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 144300 is about 379.8683982645. The cubic root of 144300 is about 52.4512018222.

Adding to 144300 its reverse (3441), we get a palindrome (147741).

It can be divided in two parts, 144 and 300, that added together give a palindrome (444).

The spelling of 144300 in words is "one hundred forty-four thousand, three hundred", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 37 39 50 52 60 65 74 75 78 100 111 130 148 150 156 185 195 222 260 300 325 370 390 444 481 555 650 740 780 925 962 975 1110 1300 1443 1850 1924 1950 2220 2405 2775 2886 3700 3900 4810 5550 5772 7215 9620 11100 12025 14430 24050 28860 36075 48100 72150 144300