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144440352 = 2532771647
BaseRepresentation
bin10001001101111…
…11110000100000
3101001210022220200
420212333300200
5243434042402
622155505200
73402502620
oct1046776040
9331708820
10144440352
11745951a1
1240458200
1323c03484
141527c880
15ca3221c
hex89bfc20

144440352 has 72 divisors (see below), whose sum is σ = 469437696. Its totient is φ = 41268096.

The previous prime is 144440339. The next prime is 144440363. The reversal of 144440352 is 253044441.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33808 + ... + 37839.

It is an arithmetic number, because the mean of its divisors is an integer number (6519968).

Almost surely, 2144440352 is an apocalyptic number.

144440352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144440352 is an abundant number, since it is smaller than the sum of its proper divisors (324997344).

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

144440352 is a wasteful number, since it uses less digits than its factorization.

144440352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71670 (or 71659 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 144440352 is about 12018.3339943604. Note that the first 3 decimals coincide. The cubic root of 144440352 is about 524.6820169661.

Adding to 144440352 its reverse (253044441), we get a palindrome (397484793).

The spelling of 144440352 in words is "one hundred forty-four million, four hundred forty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 71647 143294 214941 286588 429882 501529 573176 644823 859764 1003058 1146352 1289646 1504587 1719528 2006116 2292704 2579292 3009174 3439056 4012232 4513761 5158584 6018348 6878112 8024464 9027522 10317168 12036696 16048928 18055044 20634336 24073392 36110088 48146784 72220176 144440352