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144320320 = 265607743
BaseRepresentation
bin10001001101000…
…10011101000000
3101001120020021001
420212202131000
5243421222240
622153141344
73401462644
oct1046423500
9331506231
10144320320
1174512aa1
12403ba854
1323b90951
141524ac24
15ca0b89a
hex89a2740

144320320 has 56 divisors (see below), whose sum is σ = 344692224. Its totient is φ = 57555456.

The previous prime is 144320311. The next prime is 144320329. The reversal of 144320320 is 23023441.

It is an interprime number because it is at equal distance from previous prime (144320311) and next prime (144320329).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144320329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 193869 + ... + 194611.

Almost surely, 2144320320 is an apocalyptic number.

144320320 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 144320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172346112).

144320320 is an abundant number, since it is smaller than the sum of its proper divisors (200371904).

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

144320320 is an equidigital number, since it uses as much as digits as its factorization.

144320320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1367 (or 1357 counting only the distinct ones).

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

The square root of 144320320 is about 12013.3392526807. The cubic root of 144320320 is about 524.5366372657.

Adding to 144320320 its reverse (23023441), we get a palindrome (167343761).

The spelling of 144320320 in words is "one hundred forty-four million, three hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 607 743 1214 1486 2428 2972 3035 3715 4856 5944 6070 7430 9712 11888 12140 14860 19424 23776 24280 29720 38848 47552 48560 59440 97120 118880 194240 237760 451001 902002 1804004 2255005 3608008 4510010 7216016 9020020 14432032 18040040 28864064 36080080 72160160 144320320