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444030 = 23519241
BaseRepresentation
bin1101100011001111110
3211120002120
41230121332
5103202110
613303410
73526356
oct1543176
9746076
10444030
11283674
12194b66
13127152
14b7b66
158b870
hex6c67e

444030 has 48 divisors (see below), whose sum is σ = 1152144. Its totient is φ = 109440.

The previous prime is 444029. The next prime is 444043. The reversal of 444030 is 30444.

444030 = 2962 + 2972 + ... + 3002.

444030 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10810 + ... + 10850.

It is an arithmetic number, because the mean of its divisors is an integer number (24003).

2444030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576072).

444030 is an abundant number, since it is smaller than the sum of its proper divisors (708114).

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

444030 is a wasteful number, since it uses less digits than its factorization.

444030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 444030 is about 666.3557608365. The cubic root of 444030 is about 76.2905544369.

Adding to 444030 its reverse (30444), we get a palindrome (474474).

The spelling of 444030 in words is "four hundred forty-four thousand, thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 41 57 82 95 114 123 190 205 246 285 361 410 570 615 722 779 1083 1230 1558 1805 2166 2337 3610 3895 4674 5415 7790 10830 11685 14801 23370 29602 44403 74005 88806 148010 222015 444030