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3242311104 = 263231973727
BaseRepresentation
bin1100000101000001…
…1011110111000000
322100221222110200110
43001100123313000
523120012423404
61253421551320
7143230122024
oct30120336700
98327873613
103242311104
11141422235a
12765a15540
133c89642a6
1422a880384
1513e9a9b89
hexc141bdc0

3242311104 has 112 divisors (see below), whose sum is σ = 8999451648. Its totient is φ = 1028256768.

The previous prime is 3242311103. The next prime is 3242311117. The reversal of 3242311104 is 4011132423.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3242311103) 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, 868089 + ... + 871815.

Almost surely, 23242311104 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 3242311104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4499725824).

3242311104 is an abundant number, since it is smaller than the sum of its proper divisors (5757140544).

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

3242311104 is a wasteful number, since it uses less digits than its factorization.

3242311104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3962 (or 3952 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 3242311104 is about 56941.2952434347. The cubic root of 3242311104 is about 1480.0789926185.

Adding to 3242311104 its reverse (4011132423), we get a palindrome (7253443527).

The spelling of 3242311104 in words is "three billion, two hundred forty-two million, three hundred eleven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 138 184 192 197 276 368 394 552 591 736 788 1104 1182 1472 1576 2208 2364 3152 3727 4416 4531 4728 6304 7454 9062 9456 11181 12608 13593 14908 18124 18912 22362 27186 29816 36248 37824 44724 54372 59632 72496 85721 89448 108744 119264 144992 171442 178896 217488 238528 257163 289984 342884 357792 434976 514326 685768 715584 734219 869952 1028652 1371536 1468438 2057304 2202657 2743072 2936876 4114608 4405314 5486144 5873752 8229216 8810628 11747504 16458432 16887037 17621256 23495008 33774074 35242512 46990016 50661111 67548148 70485024 101322222 135096296 140970048 202644444 270192592 405288888 540385184 810577776 1080770368 1621155552 3242311104