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441423312 = 243112413469
BaseRepresentation
bin11010010011111…
…001010111010000
31010202121121221120
4122103321113100
51401001021222
6111445122240
713640015301
oct3223712720
91122547846
10441423312
11207198960
121039b9380
13705b5c35
14428a87a8
1528b4715c
hex1a4f95d0

441423312 has 80 divisors (see below), whose sum is σ = 1249533120. Its totient is φ = 133171200.

The previous prime is 441423293. The next prime is 441423317. The reversal of 441423312 is 213324144.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441423317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125514 + ... + 128982.

It is an arithmetic number, because the mean of its divisors is an integer number (15619164).

Almost surely, 2441423312 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 441423312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624766560).

441423312 is an abundant number, since it is smaller than the sum of its proper divisors (808109808).

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

441423312 is a wasteful number, since it uses less digits than its factorization.

441423312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3732 (or 3726 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 441423312 is about 21010.0764396515. The cubic root of 441423312 is about 761.4097288053.

Adding to 441423312 its reverse (213324144), we get a palindrome (654747456).

The spelling of 441423312 in words is "four hundred forty-one million, four hundred twenty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 241 264 482 528 723 964 1446 1928 2651 2892 3469 3856 5302 5784 6938 7953 10407 10604 11568 13876 15906 20814 21208 27752 31812 38159 41628 42416 55504 63624 76318 83256 114477 127248 152636 166512 228954 305272 457908 610544 836029 915816 1672058 1831632 2508087 3344116 5016174 6688232 9196319 10032348 13376464 18392638 20064696 27588957 36785276 40129392 55177914 73570552 110355828 147141104 220711656 441423312