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441342040 = 23531418681
BaseRepresentation
bin11010010011100…
…101100001011000
31010202110111110111
4122103211201120
51400440421130
6111443254104
713636226326
oct3223454130
91122414414
10441342040
11207142897
1210397a334
1370587c49
1442886d16
1528b2d02a
hex1a4e5858

441342040 has 64 divisors (see below), whose sum is σ = 1050174720. Its totient is φ = 166656000.

The previous prime is 441342017. The next prime is 441342043. The reversal of 441342040 is 40243144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441342043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46500 + ... + 55180.

It is an arithmetic number, because the mean of its divisors is an integer number (16408980).

Almost surely, 2441342040 is an apocalyptic number.

441342040 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 441342040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525087360).

441342040 is an abundant number, since it is smaller than the sum of its proper divisors (608832680).

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

441342040 is a wasteful number, since it uses less digits than its factorization.

441342040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8764 (or 8760 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 441342040 is about 21008.1422310494. The cubic root of 441342040 is about 761.3629973287.

Adding to 441342040 its reverse (40243144), we get a palindrome (481585184).

The spelling of 441342040 in words is "four hundred forty-one million, three hundred forty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 31 40 41 62 82 124 155 164 205 248 310 328 410 620 820 1240 1271 1640 2542 5084 6355 8681 10168 12710 17362 25420 34724 43405 50840 69448 86810 173620 269111 347240 355921 538222 711842 1076444 1345555 1423684 1779605 2152888 2691110 2847368 3559210 5382220 7118420 10764440 11033551 14236840 22067102 44134204 55167755 88268408 110335510 220671020 441342040