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144340400 = 2452360851
BaseRepresentation
bin10001001101001…
…11010110110000
3101001121020210202
420212213112300
5243422343100
622153414332
73401605331
oct1046472660
9331536722
10144340400
1174527096
124040a3a8
1323b99b29
1415254288
15ca127d5
hex89a75b0

144340400 has 30 divisors (see below), whose sum is σ = 346778772. Its totient is φ = 57736000.

The previous prime is 144340393. The next prime is 144340411. The reversal of 144340400 is 4043441.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 5 ways as a sum of consecutive naturals, for example, 180026 + ... + 180825.

Almost surely, 2144340400 is an apocalyptic number.

144340400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144340400 is an abundant number, since it is smaller than the sum of its proper divisors (202438372).

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

144340400 is a wasteful number, since it uses less digits than its factorization.

144340400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360869 (or 360858 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 144340400 is about 12014.1749612697. The cubic root of 144340400 is about 524.5609632632.

Adding to 144340400 its reverse (4043441), we get a palindrome (148383841).

The spelling of 144340400 in words is "one hundred forty-four million, three hundred forty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 360851 721702 1443404 1804255 2886808 3608510 5773616 7217020 9021275 14434040 18042550 28868080 36085100 72170200 144340400