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441040 = 24537149
BaseRepresentation
bin1101011101011010000
3211101222211
41223223100
5103103130
613241504
73514555
oct1535320
9741884
10441040
112813a6
12193294
13125992
14b6a2c
158aa2a
hex6bad0

441040 has 40 divisors (see below), whose sum is σ = 1060200. Its totient is φ = 170496.

The previous prime is 441029. The next prime is 441041. The reversal of 441040 is 40144.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 46656 + 394384 = 216^2 + 628^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 441040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441041) 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, 2886 + ... + 3034.

It is an arithmetic number, because the mean of its divisors is an integer number (26505).

2441040 is an apocalyptic number.

441040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530100).

441040 is an abundant number, since it is smaller than the sum of its proper divisors (619160).

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

441040 is a wasteful number, since it uses less digits than its factorization.

441040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 441040 is about 664.1084248826. The cubic root of 441040 is about 76.1189273747.

Adding to 441040 its reverse (40144), we get a palindrome (481184).

It can be divided in two parts, 4410 and 40, that multiplied together give a square (176400 = 4202).

The spelling of 441040 in words is "four hundred forty-one thousand, forty", and thus it is an iban number.

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 149 185 296 298 370 592 596 740 745 1192 1480 1490 2384 2960 2980 5513 5960 11026 11920 22052 27565 44104 55130 88208 110260 220520 441040