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144332320 = 2551182007
BaseRepresentation
bin10001001101001…
…01011000100000
3101001120211201111
420212211120200
5243422113240
622153313104
73401542636
oct1046453040
9331524644
10144332320
1174521010
1240405794
1323b96252
1415251356
15ca101ea
hex89a5620

144332320 has 48 divisors (see below), whose sum is σ = 371988288. Its totient is φ = 52483840.

The previous prime is 144332317. The next prime is 144332327. The reversal of 144332320 is 23233441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 144332291 and 144332300.

It is not an unprimeable number, because it can be changed into a prime (144332327) 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, 39244 + ... + 42763.

It is an arithmetic number, because the mean of its divisors is an integer number (7749756).

Almost surely, 2144332320 is an apocalyptic number.

144332320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144332320 is an abundant number, since it is smaller than the sum of its proper divisors (227655968).

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

144332320 is a wasteful number, since it uses less digits than its factorization.

144332320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82033 (or 82025 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 144332320 is about 12013.8386871141. The cubic root of 144332320 is about 524.5511749857.

Adding to 144332320 its reverse (23233441), we get a palindrome (167565761).

It can be divided in two parts, 14 and 4332320, that added together give a palindrome (4332334).

The spelling of 144332320 in words is "one hundred forty-four million, three hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 82007 164014 328028 410035 656056 820070 902077 1312112 1640140 1804154 2624224 3280280 3608308 4510385 6560560 7216616 9020770 13121120 14433232 18041540 28866464 36083080 72166160 144332320