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144342320 = 2455359577
BaseRepresentation
bin10001001101001…
…11110100110000
3101001121100102212
420212213310300
5243422423240
622153431252
73401614043
oct1046476460
9331540385
10144342320
1174528581
124040b528
1323b9a975
1415254c5a
15ca13165
hex89a7d30

144342320 has 80 divisors (see below), whose sum is σ = 348325920. Its totient is φ = 55590912.

The previous prime is 144342313. The next prime is 144342337. The reversal of 144342320 is 23243441.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 249872 + ... + 250448.

It is an arithmetic number, because the mean of its divisors is an integer number (4354074).

Almost surely, 2144342320 is an apocalyptic number.

144342320 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 144342320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174162960).

144342320 is an abundant number, since it is smaller than the sum of its proper divisors (203983600).

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

144342320 is a wasteful number, since it uses less digits than its factorization.

144342320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 144342320 is about 12014.2548666157. The cubic root of 144342320 is about 524.5632891368.

Adding to 144342320 its reverse (23243441), we get a palindrome (167585761).

The spelling of 144342320 in words is "one hundred forty-four million, three hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 53 59 80 106 118 212 236 265 295 424 472 530 577 590 848 944 1060 1154 1180 2120 2308 2360 2885 3127 4240 4616 4720 5770 6254 9232 11540 12508 15635 23080 25016 30581 31270 34043 46160 50032 61162 62540 68086 122324 125080 136172 152905 170215 244648 250160 272344 305810 340430 489296 544688 611620 680860 1223240 1361720 1804279 2446480 2723440 3608558 7217116 9021395 14434232 18042790 28868464 36085580 72171160 144342320