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144304300 = 22527238963
BaseRepresentation
bin10001001100111…
…10100010101100
3101001112102021201
420212132202230
5243420214200
622152535244
73401365150
oct1046364254
9331472251
10144304300
1174501a58
12403b1524
1323b8657a
1415245060
15ca06c6a
hex899e8ac

144304300 has 72 divisors (see below), whose sum is σ = 373476096. Its totient is φ = 47319360.

The previous prime is 144304271. The next prime is 144304301. The reversal of 144304300 is 3403441.

It is not an unprimeable number, because it can be changed into a prime (144304301) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 11619 + ... + 20581.

It is an arithmetic number, because the mean of its divisors is an integer number (5187168).

Almost surely, 2144304300 is an apocalyptic number.

144304300 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 144304300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186738048).

144304300 is an abundant number, since it is smaller than the sum of its proper divisors (229171796).

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

144304300 is a wasteful number, since it uses less digits than its factorization.

144304300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9007 (or 9000 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 144304300 is about 12012.6724753487. The cubic root of 144304300 is about 524.5172281535.

Adding to 144304300 its reverse (3403441), we get a palindrome (147707741).

The spelling of 144304300 in words is "one hundred forty-four million, three hundred four thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 23 25 28 35 46 50 70 92 100 115 140 161 175 230 322 350 460 575 644 700 805 1150 1610 2300 3220 4025 8050 8963 16100 17926 35852 44815 62741 89630 125482 179260 206149 224075 250964 313705 412298 448150 627410 824596 896300 1030745 1254820 1443043 1568525 2061490 2886086 3137050 4122980 5153725 5772172 6274100 7215215 10307450 14430430 20614900 28860860 36076075 72152150 144304300