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330144 = 25319181
BaseRepresentation
bin1010000100110100000
3121202212120
41100212200
541031034
611024240
72543343
oct1204640
9552776
10330144
11206051
1213b080
13b7369
148845a
1567c49
hex509a0

330144 has 48 divisors (see below), whose sum is σ = 917280. Its totient is φ = 103680.

The previous prime is 330139. The next prime is 330149. The reversal of 330144 is 441033.

It is an interprime number because it is at equal distance from previous prime (330139) and next prime (330149).

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (330149) by changing a digit.

330144 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1734 + ... + 1914.

It is an arithmetic number, because the mean of its divisors is an integer number (19110).

2330144 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 330144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458640).

330144 is an abundant number, since it is smaller than the sum of its proper divisors (587136).

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

330144 is a wasteful number, since it uses less digits than its factorization.

330144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 330144 is about 574.5815868961. The cubic root of 330144 is about 69.1142823631.

Adding to 330144 its reverse (441033), we get a palindrome (771177).

Subtracting 330144 from its reverse (441033), we obtain a square (110889 = 3332).

It can be divided in two parts, 330 and 144, that added together give a palindrome (474).

The spelling of 330144 in words is "three hundred thirty thousand, one hundred forty-four".