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144505340 = 22576116921
BaseRepresentation
bin10001001110011…
…11100111111100
3101001220122001122
420213033213330
5243443132330
622201130112
73403163240
oct1047174774
9331818048
10144505340
117462a001
1240489938
1323c26c25
1415298420
15ca465e5
hex89cf9fc

144505340 has 48 divisors (see below), whose sum is σ = 352519104. Its totient is φ = 48729600.

The previous prime is 144505301. The next prime is 144505349. The reversal of 144505340 is 43505441.

144505340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144505349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80 + ... + 17000.

It is an arithmetic number, because the mean of its divisors is an integer number (7344148).

Almost surely, 2144505340 is an apocalyptic number.

144505340 is a gapful number since it is divisible by the number (10) 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 144505340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176259552).

144505340 is an abundant number, since it is smaller than the sum of its proper divisors (208013764).

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

144505340 is a wasteful number, since it uses less digits than its factorization.

144505340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16998 (or 16996 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 144505340 is about 12021.0373928376. The cubic root of 144505340 is about 524.7606951698.

The spelling of 144505340 in words is "one hundred forty-four million, five hundred five thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 61 70 122 140 244 305 427 610 854 1220 1708 2135 4270 8540 16921 33842 67684 84605 118447 169210 236894 338420 473788 592235 1032181 1184470 2064362 2368940 4128724 5160905 7225267 10321810 14450534 20643620 28901068 36126335 72252670 144505340