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144323400 = 233521318503
BaseRepresentation
bin10001001101000…
…11001101001000
3101001120101111010
420212203031020
5243421322100
622153203520
73401504634
oct1046431510
9331511433
10144323400
1174515341
12404005a0
1323b92180
141524bdc4
15ca0c750
hex89a3348

144323400 has 96 divisors (see below), whose sum is σ = 481844160. Its totient is φ = 35523840.

The previous prime is 144323393. The next prime is 144323407. The reversal of 144323400 is 4323441.

It is an interprime number because it is at equal distance from previous prime (144323393) and next prime (144323407).

It is not an unprimeable number, because it can be changed into a prime (144323407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1452 + ... + 17051.

It is an arithmetic number, because the mean of its divisors is an integer number (5019210).

Almost surely, 2144323400 is an apocalyptic number.

144323400 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 144323400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240922080).

144323400 is an abundant number, since it is smaller than the sum of its proper divisors (337520760).

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

144323400 is a wasteful number, since it uses less digits than its factorization.

144323400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18535 (or 18526 counting only the distinct ones).

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

The square root of 144323400 is about 12013.4674428326. The cubic root of 144323400 is about 524.5403686907.

Adding to 144323400 its reverse (4323441), we get a palindrome (148646841).

The spelling of 144323400 in words is "one hundred forty-four million, three hundred twenty-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 130 150 156 195 200 260 300 312 325 390 520 600 650 780 975 1300 1560 1950 2600 3900 7800 18503 37006 55509 74012 92515 111018 148024 185030 222036 240539 277545 370060 444072 462575 481078 555090 721617 740120 925150 962156 1110180 1202695 1387725 1443234 1850300 1924312 2220360 2405390 2775450 2886468 3608085 3700600 4810780 5550900 5772936 6013475 7216170 9621560 11101800 12026950 14432340 18040425 24053900 28864680 36080850 48107800 72161700 144323400