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144204345 = 32529310937
BaseRepresentation
bin10001001100001…
…10001000111001
3101001100100011200
420212012020321
5243404014340
622150444413
73400500555
oct1046061071
9331310150
10144204345
117444394a
1240363709
1323b4cc1c
141521a865
15c9d7330
hex8986239

144204345 has 24 divisors (see below), whose sum is σ = 250830216. Its totient is φ = 76639488.

The previous prime is 144204341. The next prime is 144204349. The reversal of 144204345 is 543402441.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (144204341) and next prime (144204349).

It can be written as a sum of positive squares in 4 ways, for example, as 86322681 + 57881664 = 9291^2 + 7608^2 .

It is not a de Polignac number, because 144204345 - 22 = 144204341 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (144204341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7717 + ... + 18653.

It is an arithmetic number, because the mean of its divisors is an integer number (10451259).

Almost surely, 2144204345 is an apocalyptic number.

144204345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

144204345 is a deficient number, since it is larger than the sum of its proper divisors (106625871).

144204345 is a wasteful number, since it uses less digits than its factorization.

144204345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11241 (or 11238 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 144204345 is about 12008.5113565337. The cubic root of 144204345 is about 524.3960947123.

Adding to 144204345 its reverse (543402441), we get a palindrome (687606786).

The spelling of 144204345 in words is "one hundred forty-four million, two hundred four thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 45 293 879 1465 2637 4395 10937 13185 32811 54685 98433 164055 492165 3204541 9613623 16022705 28840869 48068115 144204345