144342 has 36 divisors (see below), whose sum is σ = 354276. Its totient is φ = 43740.

The previous prime is 144341. The next prime is 144349. The reversal of 144342 is 243441.

144342 = T_{58} + T_{59} + ... +
T_{101}.

It is a super-2 number, since 2×144342^{2} = 41669225928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

Its product of digits (384) is a multiple of the sum of its prime divisors (16).

It is a nialpdrome in base 3.

It is a congruent number.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 144342.

It is not an unprimeable number, because it can be changed into a prime (144341) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13117 + ... + 13127.

It is an arithmetic number, because the mean of its divisors is an integer number (9841).

2^{144342} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177138).

144342 is an abundant number, since it is smaller than the sum of its proper divisors (209934).

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

144342 is an frugal number, since it uses more digits than its factorization.

144342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37 (or 16 counting only the distinct ones).

The product of its digits is 384, while the sum is 18.

The square root of 144342 is about 379.9236765457. The cubic root of 144342 is about 52.4562901493.

Adding to 144342 its reverse (243441), we get a palindrome (387783).

Subtracting 144342 from its reverse (243441), we obtain a palindrome (99099).

It can be divided in two parts, 1443 and 42, that multiplied together give a palindrome (60606).

The spelling of 144342 in words is "one hundred forty-four thousand, three hundred forty-two", and thus it is an iban number.

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 243 297 486 594 729 891 1458 1782 2187 2673 4374 5346 6561 8019 13122 16038 24057 48114 72171 144342

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