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144408 = 23311547
BaseRepresentation
bin100011010000011000
321100002110
4203100120
514110113
63032320
71141005
oct432030
9240073
10144408
1199550
126b6a0
1350964
143a8ac
152cbc3
hex23418

144408 has 32 divisors (see below), whose sum is σ = 394560. Its totient is φ = 43680.

The previous prime is 144407. The next prime is 144409. The reversal of 144408 is 804441.

It is an interprime number because it is at equal distance from previous prime (144407) and next prime (144409).

It is a nialpdrome in base 11.

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 144408.

It is not an unprimeable number, because it can be changed into a prime (144407) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10 + ... + 537.

It is an arithmetic number, because the mean of its divisors is an integer number (12330).

2144408 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 144408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197280).

144408 is an abundant number, since it is smaller than the sum of its proper divisors (250152).

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

144408 is a wasteful number, since it uses less digits than its factorization.

144408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 144408 is about 380.0105261700. The cubic root of 144408 is about 52.4642840979.

Adding to 144408 its reverse (804441), we get a palindrome (948849).

The spelling of 144408 in words is "one hundred forty-four thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 547 1094 1641 2188 3282 4376 6017 6564 12034 13128 18051 24068 36102 48136 72204 144408