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144341300 = 22527691877
BaseRepresentation
bin10001001101001…
…11100100110100
3101001121022001002
420212213210310
5243422410200
622153422432
73401611055
oct1046474464
9331538032
10144341300
1174527834
124040aa18
1323b9a36c
141525472c
15ca12bd5
hex89a7934

144341300 has 36 divisors (see below), whose sum is σ = 313795020. Its totient is φ = 57630720.

The previous prime is 144341299. The next prime is 144341333. The reversal of 144341300 is 3143441.

Adding to 144341300 its reverse (3143441), we get a palindrome (147484741).

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2540836 + 141800464 = 1594^2 + 11908^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75962 + ... + 77838.

Almost surely, 2144341300 is an apocalyptic number.

144341300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144341300 is an abundant number, since it is smaller than the sum of its proper divisors (169453720).

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

144341300 is a wasteful number, since it uses less digits than its factorization.

144341300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2660 (or 2653 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 144341300 is about 12014.2124169668. The cubic root of 144341300 is about 524.5620535190.

The spelling of 144341300 in words is "one hundred forty-four million, three hundred forty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 769 1538 1877 3076 3754 3845 7508 7690 9385 15380 18770 19225 37540 38450 46925 76900 93850 187700 1443413 2886826 5773652 7217065 14434130 28868260 36085325 72170650 144341300