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144340320 = 2535833623
BaseRepresentation
bin10001001101001…
…11010101100000
3101001121020200210
420212213111200
5243422342240
622153414120
73401605155
oct1046472540
9331536623
10144340320
1174527023
124040a340
1323b99a97
141525422c
15ca12780
hex89a7560

144340320 has 96 divisors (see below), whose sum is σ = 460276992. Its totient is φ = 38016512.

The previous prime is 144340223. The next prime is 144340327. The reversal of 144340320 is 23043441.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144340327) 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, 38029 + ... + 41651.

It is an arithmetic number, because the mean of its divisors is an integer number (4794552).

Almost surely, 2144340320 is an apocalyptic number.

144340320 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 144340320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230138496).

144340320 is an abundant number, since it is smaller than the sum of its proper divisors (315936672).

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

144340320 is a wasteful number, since it uses less digits than its factorization.

144340320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3724 (or 3716 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 144340320 is about 12014.1716318688. The cubic root of 144340320 is about 524.5608663513.

Adding to 144340320 its reverse (23043441), we get a palindrome (167383761).

The spelling of 144340320 in words is "one hundred forty-four million, three hundred forty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 83 96 120 160 166 240 249 332 415 480 498 664 830 996 1245 1328 1660 1992 2490 2656 3320 3623 3984 4980 6640 7246 7968 9960 10869 13280 14492 18115 19920 21738 28984 36230 39840 43476 54345 57968 72460 86952 108690 115936 144920 173904 217380 289840 300709 347808 434760 579680 601418 869520 902127 1202836 1503545 1739040 1804254 2405672 3007090 3608508 4510635 4811344 6014180 7217016 9021270 9622688 12028360 14434032 18042540 24056720 28868064 36085080 48113440 72170160 144340320