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3243431424 = 2932299221
BaseRepresentation
bin1100000101010010…
…1101011000000000
322101001002101110210
43001110231120000
523120304301144
61253501554120
7143242466202
oct30124553000
98331071423
103243431424
111414918042
12766275940
133c8c671bc
1422aa92772
1513eb2bab9
hexc152d600

3243431424 has 80 divisors (see below), whose sum is σ = 8679377520. Its totient is φ = 1076305920.

The previous prime is 3243431419. The next prime is 3243431441. The reversal of 3243431424 is 4241343423.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 3243431391 and 3243431400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 347134 + ... + 356354.

It is an arithmetic number, because the mean of its divisors is an integer number (108492219).

Almost surely, 23243431424 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 3243431424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4339688760).

3243431424 is an abundant number, since it is smaller than the sum of its proper divisors (5435946096).

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

3243431424 is an equidigital number, since it uses as much as digits as its factorization.

3243431424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9471 (or 9455 counting only the distinct ones).

The product of its digits is 27648, while the sum is 30.

The square root of 3243431424 is about 56951.1318939317. The cubic root of 3243431424 is about 1480.2494441985.

Adding to 3243431424 its reverse (4241343423), we get a palindrome (7484774847).

The spelling of 3243431424 in words is "three billion, two hundred forty-three million, four hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 229 256 384 458 512 687 768 916 1374 1536 1832 2748 3664 5496 7328 9221 10992 14656 18442 21984 27663 29312 36884 43968 55326 58624 73768 87936 110652 117248 147536 175872 221304 295072 351744 442608 590144 885216 1180288 1770432 2111609 2360576 3540864 4223218 4721152 6334827 7081728 8446436 12669654 14163456 16892872 25339308 33785744 50678616 67571488 101357232 135142976 202714464 270285952 405428928 540571904 810857856 1081143808 1621715712 3243431424