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1312002340 = 2251123298941
BaseRepresentation
bin100111000110011…
…1001000100100100
310101102202121212021
41032030321010210
510141333033330
6334104432524
744340556465
oct11614710444
93342677767
101312002340
11613655860
12307478744
1317ba7b05c
14c6366d6c
157a2b167a
hex4e339124

1312002340 has 96 divisors (see below), whose sum is σ = 3244872960. Its totient is φ = 440563200.

The previous prime is 1312002323. The next prime is 1312002343. The reversal of 1312002340 is 432002131.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1312002343) 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 31 ways as a sum of consecutive naturals, for example, 142270 + ... + 151210.

It is an arithmetic number, because the mean of its divisors is an integer number (33800760).

Almost surely, 21312002340 is an apocalyptic number.

1312002340 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 1312002340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1622436480).

1312002340 is an abundant number, since it is smaller than the sum of its proper divisors (1932870620).

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

1312002340 is a wasteful number, since it uses less digits than its factorization.

1312002340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9013 (or 9011 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1312002340 is about 36221.5728537566. The cubic root of 1312002340 is about 1094.7413857960.

Adding to 1312002340 its reverse (432002131), we get a palindrome (1744004471).

The spelling of 1312002340 in words is "one billion, three hundred twelve million, two thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 23 29 44 46 55 58 92 110 115 116 145 220 230 253 290 319 460 506 580 638 667 1012 1265 1276 1334 1595 2530 2668 3190 3335 5060 6380 6670 7337 8941 13340 14674 17882 29348 35764 36685 44705 73370 89410 98351 146740 178820 196702 205643 259289 393404 411286 491755 518578 822572 983510 1028215 1037156 1296445 1967020 2056430 2262073 2592890 2852179 4112860 4524146 5185780 5704358 5963647 9048292 11310365 11408716 11927294 14260895 22620730 23854588 28521790 29818235 45241460 57043580 59636470 65600117 119272940 131200234 262400468 328000585 656001170 1312002340