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144538340 = 2257226917
BaseRepresentation
bin10001001110101…
…11101011100100
3101001222022022212
420213113223210
5244000211330
622201542552
73403361402
oct1047275344
9331868285
10144538340
1174651881
12404a4a58
1323c38c5b
14152a6472
15ca51295
hex89d7ae4

144538340 has 12 divisors (see below), whose sum is σ = 303530556. Its totient is φ = 57815328.

The previous prime is 144538327. The next prime is 144538343. The reversal of 144538340 is 43835441.

It can be written as a sum of positive squares in 2 ways, for example, as 110712484 + 33825856 = 10522^2 + 5816^2 .

It is a junction number, because it is equal to n+sod(n) for n = 144538297 and 144538306.

It is not an unprimeable number, because it can be changed into a prime (144538343) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3613439 + ... + 3613478.

It is an arithmetic number, because the mean of its divisors is an integer number (25294213).

Almost surely, 2144538340 is an apocalyptic number.

144538340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144538340 is an abundant number, since it is smaller than the sum of its proper divisors (158992216).

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

144538340 is a wasteful number, since it uses less digits than its factorization.

144538340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7226926 (or 7226924 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 144538340 is about 12022.4099081673. The cubic root of 144538340 is about 524.8006378342.

It can be divided in two parts, 14 and 4538340, that added together give a palindrome (4538354).

The spelling of 144538340 in words is "one hundred forty-four million, five hundred thirty-eight thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 7226917 14453834 28907668 36134585 72269170 144538340