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1323404340 = 223519261099
BaseRepresentation
bin100111011100001…
…1000110000110100
310102020012220110120
41032320120300310
510202242414330
6335153051540
744536515456
oct11670306064
93366186416
101323404340
1161a0332a5
1230b256bb0
13181240abb
14c7a942d6
157b2b4c10
hex4ee18c34

1323404340 has 72 divisors (see below), whose sum is σ = 3910888800. Its totient is φ = 334328256.

The previous prime is 1323404293. The next prime is 1323404363. The reversal of 1323404340 is 434043231.

It is a self number, because there is not a number n which added to its sum of digits gives 1323404340.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8890 + ... + 52209.

It is an arithmetic number, because the mean of its divisors is an integer number (54317900).

Almost surely, 21323404340 is an apocalyptic number.

1323404340 is a gapful number since it is divisible by the number (10) 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 1323404340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1955444400).

1323404340 is an abundant number, since it is smaller than the sum of its proper divisors (2587484460).

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

1323404340 is a wasteful number, since it uses less digits than its factorization.

1323404340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61149 (or 61128 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 1323404340 is about 36378.6247678496. The cubic root of 1323404340 is about 1097.9035386276.

Adding to 1323404340 its reverse (434043231), we get a palindrome (1757447571).

The spelling of 1323404340 in words is "one billion, three hundred twenty-three million, four hundred four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 361 380 570 722 1083 1140 1444 1805 2166 3610 4332 5415 7220 10830 21660 61099 122198 183297 244396 305495 366594 610990 733188 916485 1160881 1221980 1832970 2321762 3482643 3665940 4643524 5804405 6965286 11608810 13930572 17413215 22056739 23217620 34826430 44113478 66170217 69652860 88226956 110283695 132340434 220567390 264680868 330851085 441134780 661702170 1323404340