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443432234344 = 231131331491083
BaseRepresentation
bin1100111001111101001…
…11101110110101101000
31120101120112222110212211
412130332213232311220
524231122122444334
6535413203414504
744015443541641
oct6347647566550
91511515873784
10443432234344
11161070a32950
1271b34684434
1332a7a7c16a8
141766852c6c8
15b8048a3a64
hex673e9eed68

443432234344 has 64 divisors (see below), whose sum is σ = 939109754880. Its totient is φ = 194468472000.

The previous prime is 443432234341. The next prime is 443432234353.

443432234344 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4434322343442 (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 443432234297 and 443432234306.

It is not an unprimeable number, because it can be changed into a prime (443432234341) 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, 657427 + ... + 1148509.

It is an arithmetic number, because the mean of its divisors is an integer number (14673589920).

Almost surely, 2443432234344 is an apocalyptic number.

443432234344 is a gapful number since it is divisible by the number (44) 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 443432234344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469554877440).

443432234344 is an abundant number, since it is smaller than the sum of its proper divisors (495677520536).

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

443432234344 is a wasteful number, since it uses less digits than its factorization.

443432234344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491462 (or 491458 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 40.

It can be divided in two parts, 443432 and 234344, that added together give a palindrome (677776).

The spelling of 443432234344 in words is "four hundred forty-three billion, four hundred thirty-two million, two hundred thirty-four thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 22 31 44 62 88 124 248 331 341 662 682 1324 1364 2648 2728 3641 7282 10261 14564 20522 29128 41044 82088 112871 225742 451484 491083 902968 982166 1964332 3928664 5401913 10803826 15223573 21607652 30447146 43215304 60894292 121788584 162548473 167459303 325096946 334918606 650193892 669837212 1300387784 1339674424 1788033203 3576066406 5039002663 7152132812 10078005326 14304265624 20156010652 40312021304 55429029293 110858058586 221716117172 443432234344