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1345430160 = 2432513611373
BaseRepresentation
bin101000000110001…
…1010001010010000
310110202122221012200
41100030122022100
510223412231120
6341301123200
745224652624
oct12014321220
93422587180
101345430160
11630507658
123166b9500
13185983329
14ca989184
157d1b5e90
hex5031a290

1345430160 has 120 divisors (see below), whose sum is σ = 4525016184. Its totient is φ = 358256640.

The previous prime is 1345430143. The next prime is 1345430161. The reversal of 1345430160 is 610345431.

It can be written as a sum of positive squares in 4 ways, for example, as 287099136 + 1058331024 = 16944^2 + 32532^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (1345430161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 979234 + ... + 980606.

Almost surely, 21345430160 is an apocalyptic number.

1345430160 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 1345430160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2262508092).

1345430160 is an abundant number, since it is smaller than the sum of its proper divisors (3179586024).

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

1345430160 is a wasteful number, since it uses less digits than its factorization.

1345430160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2753 (or 2744 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 1345430160 is about 36680.1057795639. The cubic root of 1345430160 is about 1103.9609705799.

Adding to 1345430160 its reverse (610345431), we get a palindrome (1955775591).

The spelling of 1345430160 in words is "one billion, three hundred forty-five million, four hundred thirty thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 1361 1373 2722 2746 4083 4119 5444 5492 6805 6865 8166 8238 10888 10984 12249 12357 13610 13730 16332 16476 20415 20595 21776 21968 24498 24714 27220 27460 32664 32952 40830 41190 48996 49428 54440 54920 61245 61785 65328 65904 81660 82380 97992 98856 108880 109840 122490 123570 163320 164760 195984 197712 244980 247140 326640 329520 489960 494280 979920 988560 1868653 3737306 5605959 7474612 9343265 11211918 14949224 16817877 18686530 22423836 28029795 29898448 33635754 37373060 44847672 56059590 67271508 74746120 84089385 89695344 112119180 134543016 149492240 168178770 224238360 269086032 336357540 448476720 672715080 1345430160