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144306 = 2328017
BaseRepresentation
bin100011001110110010
321022221200
4203032302
514104211
63032030
71140501
oct431662
9238850
10144306
1199468
126b616
13508b6
143a838
152cb56
hex233b2

144306 has 12 divisors (see below), whose sum is σ = 312702. Its totient is φ = 48096.

The previous prime is 144299. The next prime is 144307. The reversal of 144306 is 603441.

144306 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 119025 + 25281 = 345^2 + 159^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 8017 = 144306 / (1 + 4 + 4 + 3 + 0 + 6).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 144306.

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 5 ways as a sum of consecutive naturals, for example, 3991 + ... + 4026.

2144306 is an apocalyptic number.

144306 is an abundant number, since it is smaller than the sum of its proper divisors (168396).

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

144306 is a wasteful number, since it uses less digits than its factorization.

144306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8025 (or 8022 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 144306 is about 379.8762956543. The cubic root of 144306 is about 52.4519287865.

Adding to 144306 its reverse (603441), we get a palindrome (747747).

The spelling of 144306 in words is "one hundred forty-four thousand, three hundred six".

Divisors: 1 2 3 6 9 18 8017 16034 24051 48102 72153 144306