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1312435344 = 2431131181443
BaseRepresentation
bin100111000111010…
…0010110010010000
310101110120121211110
41032032202302100
510141440412334
6334122013320
744344342053
oct11616426220
93343517743
101312435344
11613921110
12307647240
1317bba017c
14c643aa9a
157a349ae9
hex4e3a2c90

1312435344 has 160 divisors (see below), whose sum is σ = 3847753728. Its totient is φ = 381888000.

The previous prime is 1312435331. The next prime is 1312435367. The reversal of 1312435344 is 4435342131.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2962387 + ... + 2962829.

Almost surely, 21312435344 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 1312435344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1923876864).

1312435344 is an abundant number, since it is smaller than the sum of its proper divisors (2535318384).

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

1312435344 is a wasteful number, since it uses less digits than its factorization.

1312435344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 671 counting only the distinct ones).

The product of its digits is 17280, while the sum is 30.

The square root of 1312435344 is about 36227.5495169077. The cubic root of 1312435344 is about 1094.8618061250.

Adding to 1312435344 its reverse (4435342131), we get a palindrome (5747777475).

The spelling of 1312435344 in words is "one billion, three hundred twelve million, four hundred thirty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 33 44 48 62 66 88 93 124 132 176 181 186 248 264 341 362 372 443 496 528 543 682 724 744 886 1023 1086 1329 1364 1448 1488 1772 1991 2046 2172 2658 2728 2896 3544 3982 4092 4344 4873 5316 5456 5611 5973 7088 7964 8184 8688 9746 10632 11222 11946 13733 14619 15928 16368 16833 19492 21264 22444 23892 27466 29238 31856 33666 38984 41199 44888 47784 54932 58476 61721 67332 77968 80183 82398 89776 95568 109864 116952 123442 134664 151063 160366 164796 185163 219728 233904 240549 246884 269328 302126 320732 329592 370326 453189 481098 493768 604252 641464 659184 740652 882013 906378 962196 987536 1208504 1282928 1481304 1764026 1812756 1924392 2417008 2485673 2646039 2962608 3528052 3625512 3848784 4971346 5292078 7056104 7251024 7457019 9942692 10584156 14112208 14914038 19885384 21168312 27342403 29828076 39770768 42336624 54684806 59656152 82027209 109369612 119312304 164054418 218739224 328108836 437478448 656217672 1312435344