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144840312 = 2334832693
BaseRepresentation
bin10001010001000…
…01011001111000
3101002112122120000
420220201121320
5244034342222
622212233000
73406056651
oct1050413170
9332478500
10144840312
1174838741
124060b760
1324013536
1415344528
15cab09ac
hex8a21678

144840312 has 80 divisors (see below), whose sum is σ = 410727240. Its totient is φ = 47680704.

The previous prime is 144840299. The next prime is 144840313. The reversal of 144840312 is 213048441.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144840313) 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 19 ways as a sum of consecutive naturals, for example, 52438 + ... + 55130.

Almost surely, 2144840312 is an apocalyptic number.

144840312 is a gapful number since it is divisible by the number (12) 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 144840312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205363620).

144840312 is an abundant number, since it is smaller than the sum of its proper divisors (265886928).

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

144840312 is a wasteful number, since it uses less digits than its factorization.

144840312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2794 (or 2781 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 144840312 is about 12034.9620689057. The cubic root of 144840312 is about 525.1658578008.

Adding to 144840312 its reverse (213048441), we get a palindrome (357888753).

It can be divided in two parts, 144 and 840312, that added together give a triangular number (840456 = T1296).

The spelling of 144840312 in words is "one hundred forty-four million, eight hundred forty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 83 108 162 166 216 249 324 332 498 648 664 747 996 1494 1992 2241 2693 2988 4482 5386 5976 6723 8079 8964 10772 13446 16158 17928 21544 24237 26892 32316 48474 53784 64632 72711 96948 145422 193896 218133 223519 290844 436266 447038 581688 670557 872532 894076 1341114 1745064 1788152 2011671 2682228 4023342 5364456 6035013 8046684 12070026 16093368 18105039 24140052 36210078 48280104 72420156 144840312