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1323213312 = 2933792273
BaseRepresentation
bin100111011011110…
…1010001000000000
310102012212012102110
41032313222020000
510202220311222
6335145015320
744535061521
oct11667521000
93365765373
101323213312
11619a12823
1230b184540
131811a4b75
14c7a44848
157b27830c
hex4edea200

1323213312 has 80 divisors (see below), whose sum is σ = 3535979040. Its totient is φ = 439713792.

The previous prime is 1323213301. The next prime is 1323213319. The reversal of 1323213312 is 2133123231.

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

It is not an unprimeable number, because it can be changed into a prime (1323213319) 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 7 ways as a sum of consecutive naturals, for example, 581008 + ... + 583280.

It is an arithmetic number, because the mean of its divisors is an integer number (44199738).

Almost surely, 21323213312 is an apocalyptic number.

1323213312 is a gapful number since it is divisible by the number (12) 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 1323213312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1767989520).

1323213312 is an abundant number, since it is smaller than the sum of its proper divisors (2212765728).

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

1323213312 is an equidigital number, since it uses as much as digits as its factorization.

1323213312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2673 (or 2657 counting only the distinct ones).

The product of its digits is 648, while the sum is 21.

The square root of 1323213312 is about 36375.9991202991. Note that the first 3 decimals coincide. The cubic root of 1323213312 is about 1097.8507101249.

Adding to 1323213312 its reverse (2133123231), we get a palindrome (3456336543).

The spelling of 1323213312 in words is "one billion, three hundred twenty-three million, two hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 379 384 512 758 768 1137 1516 1536 2273 2274 3032 4546 4548 6064 6819 9092 9096 12128 13638 18184 18192 24256 27276 36368 36384 48512 54552 72736 72768 97024 109104 145472 145536 194048 218208 290944 291072 436416 581888 582144 861467 872832 1163776 1722934 1745664 2584401 3445868 3491328 5168802 6891736 10337604 13783472 20675208 27566944 41350416 55133888 82700832 110267776 165401664 220535552 330803328 441071104 661606656 1323213312