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144360608 = 2572971313
BaseRepresentation
bin10001001101011…
…00010010100000
3101001122021112012
420212230102200
5243424014413
622154052052
73402021260
oct1046542240
9331567465
10144360608
1174540297
124041a028
1323ba60a2
141525b7a0
15ca187a8
hex89ac4a0

144360608 has 96 divisors (see below), whose sum is σ = 341832960. Its totient is φ = 58705920.

The previous prime is 144360607. The next prime is 144360649. The reversal of 144360608 is 806063441.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144360607) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 461060 + ... + 461372.

It is an arithmetic number, because the mean of its divisors is an integer number (3560760).

Almost surely, 2144360608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144360608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170916480).

144360608 is an abundant number, since it is smaller than the sum of its proper divisors (197472352).

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

144360608 is a wasteful number, since it uses less digits than its factorization.

144360608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 144360608 is about 12015.0159383997. The cubic root of 144360608 is about 524.5854420492.

The spelling of 144360608 in words is "one hundred forty-four million, three hundred sixty thousand, six hundred eight".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 71 112 116 142 203 224 232 284 313 406 464 497 568 626 812 928 994 1136 1252 1624 1988 2059 2191 2272 2504 3248 3976 4118 4382 5008 6496 7952 8236 8764 9077 10016 14413 15904 16472 17528 18154 22223 28826 32944 35056 36308 44446 57652 63539 65888 70112 72616 88892 115304 127078 145232 155561 177784 230608 254156 290464 311122 355568 461216 508312 622244 644467 711136 1016624 1244488 1288934 2033248 2488976 2577868 4511269 4977952 5155736 9022538 10311472 18045076 20622944 36090152 72180304 144360608