Search a number
-
+
144303264 = 25327312309
BaseRepresentation
bin10001001100111…
…10010010100000
3101001112100212100
420212132102200
5243420201024
622152530400
73401362140
oct1046362240
9331470770
10144303264
11745011a6
12403b0a00
1323b85c61
1415244920
15ca067c9
hex899e4a0

144303264 has 144 divisors (see below), whose sum is σ = 484323840. Its totient is φ = 39882240.

The previous prime is 144303239. The next prime is 144303277. The reversal of 144303264 is 462303441.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 61342 + ... + 63650.

It is an arithmetic number, because the mean of its divisors is an integer number (3363360).

Almost surely, 2144303264 is an apocalyptic number.

144303264 is a gapful number since it is divisible by the number (14) 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 144303264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242161920).

144303264 is an abundant number, since it is smaller than the sum of its proper divisors (340020576).

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

144303264 is a wasteful number, since it uses less digits than its factorization.

144303264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2363 (or 2352 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 144303264 is about 12012.6293541422. The cubic root of 144303264 is about 524.5159729329.

The spelling of 144303264 in words is "one hundred forty-four million, three hundred three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 31 32 36 42 48 56 62 63 72 84 93 96 112 124 126 144 168 186 217 224 248 252 279 288 336 372 434 496 504 558 651 672 744 868 992 1008 1116 1302 1488 1736 1953 2016 2232 2309 2604 2976 3472 3906 4464 4618 5208 6927 6944 7812 8928 9236 10416 13854 15624 16163 18472 20781 20832 27708 31248 32326 36944 41562 48489 55416 62496 64652 71579 73888 83124 96978 110832 129304 143158 145467 166248 193956 214737 221664 258608 286316 290934 332496 387912 429474 501053 517216 572632 581868 644211 664992 775824 858948 1002106 1145264 1163736 1288422 1503159 1551648 1717896 2004212 2290528 2327472 2576844 3006318 3435792 4008424 4509477 4654944 5153688 6012636 6871584 8016848 9018954 10307376 12025272 16033696 18037908 20614752 24050544 36075816 48101088 72151632 144303264