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144430344 = 23332113169
BaseRepresentation
bin10001001101111…
…01010100001000
3101001202211012000
420212331110020
5243433232334
622155351000
73402431502
oct1046752410
9331684160
10144430344
1174588723
1240452460
1323bcba56
1415278d72
15ca2e299
hex89bd508

144430344 has 64 divisors (see below), whose sum is σ = 403224000. Its totient is φ = 47900160.

The previous prime is 144430337. The next prime is 144430361. The reversal of 144430344 is 443034441.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43992 + ... + 47160.

It is an arithmetic number, because the mean of its divisors is an integer number (6300375).

Almost surely, 2144430344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144430344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201612000).

144430344 is an abundant number, since it is smaller than the sum of its proper divisors (258793656).

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

144430344 is a wasteful number, since it uses less digits than its factorization.

144430344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3395 (or 3385 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 144430344 is about 12017.9176232823. The cubic root of 144430344 is about 524.6698986099.

Adding to 144430344 its reverse (443034441), we get a palindrome (587464785).

The spelling of 144430344 in words is "one hundred forty-four million, four hundred thirty thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 211 216 422 633 844 1266 1688 1899 2532 3169 3798 5064 5697 6338 7596 9507 11394 12676 15192 19014 22788 25352 28521 38028 45576 57042 76056 85563 114084 171126 228168 342252 668659 684504 1337318 2005977 2674636 4011954 5349272 6017931 8023908 12035862 16047816 18053793 24071724 36107586 48143448 72215172 144430344