Search a number
-
+
144307350 = 232521129153
BaseRepresentation
bin10001001100111…
…11010010010110
3101001112120110200
420212133102112
5243420313400
622153001330
73401410065
oct1046372226
9331476420
10144307350
1174504280
12403b3246
1323b87a85
14152461dc
15ca07b00
hex899f496

144307350 has 72 divisors (see below), whose sum is σ = 422966232. Its totient is φ = 34982400.

The previous prime is 144307321. The next prime is 144307357. The reversal of 144307350 is 53703441.

144307350 is a `hidden beast` number, since 1 + 4 + 4 + 307 + 350 = 666.

144307350 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1443073503 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144307357) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9627 + ... + 19526.

It is an arithmetic number, because the mean of its divisors is an integer number (5874531).

Almost surely, 2144307350 is an apocalyptic number.

144307350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

144307350 is an abundant number, since it is smaller than the sum of its proper divisors (278658882).

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

144307350 is a wasteful number, since it uses less digits than its factorization.

144307350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29182 (or 29174 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 144307350 is about 12012.7994239478. The cubic root of 144307350 is about 524.5209235071.

The spelling of 144307350 in words is "one hundred forty-four million, three hundred seven thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 30 33 45 50 55 66 75 90 99 110 150 165 198 225 275 330 450 495 550 825 990 1650 2475 4950 29153 58306 87459 145765 174918 262377 291530 320683 437295 524754 641366 728825 874590 962049 1311885 1457650 1603415 1924098 2186475 2623770 2886147 3206830 4372950 4810245 5772294 6559425 8017075 9620490 13118850 14430735 16034150 24051225 28861470 48102450 72153675 144307350