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144730320 = 24357231397
BaseRepresentation
bin10001010000001…
…10100011010000
3101002100001200020
420220012203100
5244022332240
622210023440
73405121200
oct1050064320
9332301606
10144730320
1174773039
1240577b80
1323ca5457
1415316400
15ca8d0d0
hex8a068d0

144730320 has 240 divisors, whose sum is σ = 540108288. Its totient is φ = 31933440.

The previous prime is 144730319. The next prime is 144730357. The reversal of 144730320 is 23037441.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 364362 + ... + 364758.

Almost surely, 2144730320 is an apocalyptic number.

144730320 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 144730320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270054144).

144730320 is an abundant number, since it is smaller than the sum of its proper divisors (395377968).

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

144730320 is a wasteful number, since it uses less digits than its factorization.

144730320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 144730320 is about 12030.3915148261. The cubic root of 144730320 is about 525.0328868288.

Adding to 144730320 its reverse (23037441), we get a palindrome (167767761).

The spelling of 144730320 in words is "one hundred forty-four million, seven hundred thirty thousand, three hundred twenty".