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3241133312 = 28411092833
BaseRepresentation
bin1100000100101111…
…1100010100000000
322100212202122001112
43001023330110000
523114212231222
61253340422452
7143214115154
oct30113742400
98325678045
103241133312
11141359847a
12765547a28
133c8641181
1422a655064
1513e825be2
hexc12fc500

3241133312 has 72 divisors (see below), whose sum is σ = 6690563880. Its totient is φ = 1565982720.

The previous prime is 3241133281. The next prime is 3241133323. The reversal of 3241133312 is 2133311423.

It can be written as a sum of positive squares in 4 ways, for example, as 79995136 + 3161138176 = 8944^2 + 56224^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1142648 + ... + 1145480.

Almost surely, 23241133312 is an apocalyptic number.

3241133312 is a gapful number since it is divisible by the number (32) 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 3241133312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3345281940).

3241133312 is an abundant number, since it is smaller than the sum of its proper divisors (3449430568).

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

3241133312 is a wasteful number, since it uses less digits than its factorization.

3241133312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2999 (or 2985 counting only the distinct ones).

The product of its digits is 1296, while the sum is 23.

The square root of 3241133312 is about 56930.9521438031. The cubic root of 3241133312 is about 1479.8997545932.

Adding to 3241133312 its reverse (2133311423), we get a palindrome (5374444735).

The spelling of 3241133312 in words is "three billion, two hundred forty-one million, one hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 41 64 82 109 128 164 218 256 328 436 656 872 1312 1744 2624 2833 3488 4469 5248 5666 6976 8938 10496 11332 13952 17876 22664 27904 35752 45328 71504 90656 116153 143008 181312 232306 286016 308797 362624 464612 572032 617594 725248 929224 1144064 1235188 1858448 2470376 3716896 4940752 7433792 9881504 12660677 14867584 19763008 25321354 29735168 39526016 50642708 79052032 101285416 202570832 405141664 810283328 1620566656 3241133312