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144416340 = 223251942227
BaseRepresentation
bin10001001101110…
…01111001010100
3101001202002222100
420212321321110
5243432310330
622155202100
73402342615
oct1046717124
9331662870
10144416340
1174579152
1240446330
1323bc5573
1415273c0c
15ca2a060
hex89b9e54

144416340 has 72 divisors (see below), whose sum is σ = 461129760. Its totient is φ = 36483264.

The previous prime is 144416299. The next prime is 144416347. The reversal of 144416340 is 43614441.

144416340 is digitally balanced in base 2, 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 (144416347) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17694 + ... + 24533.

It is an arithmetic number, because the mean of its divisors is an integer number (6404580).

Almost surely, 2144416340 is an apocalyptic number.

144416340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144416340 is an abundant number, since it is smaller than the sum of its proper divisors (316713420).

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

144416340 is a wasteful number, since it uses less digits than its factorization.

144416340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42261 (or 42256 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 144416340 is about 12017.3349791041. The cubic root of 144416340 is about 524.6529406897.

The spelling of 144416340 in words is "one hundred forty-four million, four hundred sixteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3420 42227 84454 126681 168908 211135 253362 380043 422270 506724 633405 760086 802313 844540 1266810 1520172 1604626 1900215 2406939 2533620 3209252 3800430 4011565 4813878 7220817 7600860 8023130 9627756 12034695 14441634 16046260 24069390 28883268 36104085 48138780 72208170 144416340