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1321330440 = 2335173791709
BaseRepresentation
bin100111011000001…
…1110011100001000
310102002022112121110
41032300132130020
510201230033230
6335040410320
744513060223
oct11660363410
93362275543
101321330440
11618947131
1230a6169a0
13180995b41
14c76b45ba
157b0054b0
hex4ec1e708

1321330440 has 128 divisors (see below), whose sum is σ = 4210704000. Its totient is φ = 330559488.

The previous prime is 1321330337. The next prime is 1321330447. The reversal of 1321330440 is 440331231.

It is not an unprimeable number, because it can be changed into a prime (1321330447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 772306 + ... + 774014.

It is an arithmetic number, because the mean of its divisors is an integer number (32896125).

Almost surely, 21321330440 is an apocalyptic number.

1321330440 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 1321330440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2105352000).

1321330440 is an abundant number, since it is smaller than the sum of its proper divisors (2889373560).

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

1321330440 is a wasteful number, since it uses less digits than its factorization.

1321330440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2119 (or 2115 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 1321330440 is about 36350.1092157919. The cubic root of 1321330440 is about 1097.3297324947.

Adding to 1321330440 its reverse (440331231), we get a palindrome (1761661671).

The spelling of 1321330440 in words is "one billion, three hundred twenty-one million, three hundred thirty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 379 408 510 680 758 1020 1137 1516 1709 1895 2040 2274 3032 3418 3790 4548 5127 5685 6443 6836 7580 8545 9096 10254 11370 12886 13672 15160 17090 19329 20508 22740 25635 25772 29053 32215 34180 38658 41016 45480 51270 51544 58106 64430 68360 77316 87159 96645 102540 116212 128860 145265 154632 174318 193290 205080 232424 257720 290530 348636 386580 435795 581060 647711 697272 773160 871590 1162120 1295422 1743180 1943133 2590844 3238555 3486360 3886266 5181688 6477110 7772532 9715665 11011087 12954220 15545064 19431330 22022174 25908440 33033261 38862660 44044348 55055435 66066522 77725320 88088696 110110870 132133044 165166305 220221740 264266088 330332610 440443480 660665220 1321330440