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1312326306 = 233611273137
BaseRepresentation
bin100111000111000…
…1000001010100010
310101110101002021000
41032032020022202
510141423420211
6334115412430
744343406134
oct11616101242
93343332230
101312326306
116138571a5
123075b4116
1317bb62655
14c640d054
157a327656
hex4e3882a2

1312326306 has 64 divisors (see below), whose sum is σ = 2988380160. Its totient is φ = 426746880.

The previous prime is 1312326293. The next prime is 1312326313. The reversal of 1312326306 is 6036232131.

It is a happy number.

1312326306 is a `hidden beast` number, since 1 + 3 + 1 + 23 + 2 + 630 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 1312326306.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 416770 + ... + 419906.

It is an arithmetic number, because the mean of its divisors is an integer number (46693440).

Almost surely, 21312326306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1312326306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1494190080).

1312326306 is an abundant number, since it is smaller than the sum of its proper divisors (1676053854).

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

1312326306 is a wasteful number, since it uses less digits than its factorization.

1312326306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3336 (or 3330 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 1312326306 is about 36226.0445812126. The cubic root of 1312326306 is about 1094.8314846700.

Adding to 1312326306 its reverse (6036232131), we get a palindrome (7348558437).

The spelling of 1312326306 in words is "one billion, three hundred twelve million, three hundred twenty-six thousand, three hundred six".

Divisors: 1 2 3 6 9 18 27 54 61 122 127 183 254 366 381 549 762 1098 1143 1647 2286 3137 3294 3429 6274 6858 7747 9411 15494 18822 23241 28233 46482 56466 69723 84699 139446 169398 191357 209169 382714 398399 418338 574071 796798 1148142 1195197 1722213 2390394 3444426 3585591 5166639 7171182 10333278 10756773 21513546 24302339 48604678 72907017 145814034 218721051 437442102 656163153 1312326306