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144317328 = 24313012311
BaseRepresentation
bin10001001101000…
…01101110010000
3101001120002011020
420212201232100
5243421123303
622153115440
73401451141
oct1046415620
9331502136
10144317328
1174510821
12403b8b80
1323b8c48c
1415249ac8
15ca0aa53
hex89a1b90

144317328 has 40 divisors (see below), whose sum is σ = 373267776. Its totient is φ = 48048000.

The previous prime is 144317321. The next prime is 144317347. The reversal of 144317328 is 823713441.

It is a super-2 number, since 2×1443173282 = 41654982322119168, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (144317321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61293 + ... + 63603.

Almost surely, 2144317328 is an apocalyptic number.

It is an amenable number.

144317328 is an abundant number, since it is smaller than the sum of its proper divisors (228950448).

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

144317328 is a wasteful number, since it uses less digits than its factorization.

144317328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3623 (or 3617 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 144317328 is about 12013.2147237948. The cubic root of 144317328 is about 524.5330124020.

The spelling of 144317328 in words is "one hundred forty-four million, three hundred seventeen thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 1301 2311 2602 3903 4622 5204 6933 7806 9244 10408 13866 15612 18488 20816 27732 31224 36976 55464 62448 110928 3006611 6013222 9019833 12026444 18039666 24052888 36079332 48105776 72158664 144317328