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144309528 = 233211182209
BaseRepresentation
bin10001001100111…
…11110100011000
3101001112200110100
420212133310120
5243420401103
622153015400
73401416326
oct1046376430
9331480410
10144309528
1174505980
12403b4560
1323b88a6c
1415246d16
15ca085a3
hex899fd18

144309528 has 48 divisors (see below), whose sum is σ = 426371400. Its totient is φ = 43729920.

The previous prime is 144309523. The next prime is 144309551. The reversal of 144309528 is 825903441.

144309528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 144309492 and 144309501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144309523) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90313 + ... + 91896.

Almost surely, 2144309528 is an apocalyptic number.

144309528 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

144309528 is an abundant number, since it is smaller than the sum of its proper divisors (282061872).

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

144309528 is a wasteful number, since it uses less digits than its factorization.

144309528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182232 (or 182225 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 144309528 is about 12012.8900769132. The cubic root of 144309528 is about 524.5235623213.

The spelling of 144309528 in words is "one hundred forty-four million, three hundred nine thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 182209 364418 546627 728836 1093254 1457672 1639881 2004299 2186508 3279762 4008598 4373016 6012897 6559524 8017196 12025794 13119048 16034392 18038691 24051588 36077382 48103176 72154764 144309528