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1312328304 = 2436716073
BaseRepresentation
bin100111000111000…
…1000101001110000
310101110101012000000
41032032020221300
510141424001204
6334115430000
744343415020
oct11616105160
93343335000
101312328304
11613858751
123075b5300
1317bb63531
14c640da80
157a328039
hex4e388a70

1312328304 has 140 divisors (see below), whose sum is σ = 4357082736. Its totient is φ = 374927616.

The previous prime is 1312328293. The next prime is 1312328317. The reversal of 1312328304 is 4038232131.

1312328304 is a `hidden beast` number, since 1 + 31 + 2 + 328 + 304 = 666.

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

It is a congruent number.

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 27 ways as a sum of consecutive naturals, for example, 73612 + ... + 89684.

Almost surely, 21312328304 is an apocalyptic number.

1312328304 is a gapful number since it is divisible by the number (14) 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 1312328304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2178541368).

1312328304 is an abundant number, since it is smaller than the sum of its proper divisors (3044754432).

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

1312328304 is an equidigital number, since it uses as much as digits as its factorization.

1312328304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16106 (or 16085 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1312328304 is about 36226.0721580466. The cubic root of 1312328304 is about 1094.8320402920.

The spelling of 1312328304 in words is "one billion, three hundred twelve million, three hundred twenty-eight thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 243 252 324 336 378 432 486 504 567 648 729 756 972 1008 1134 1296 1458 1512 1701 1944 2268 2916 3024 3402 3888 4536 5103 5832 6804 9072 10206 11664 13608 16073 20412 27216 32146 40824 48219 64292 81648 96438 112511 128584 144657 192876 225022 257168 289314 337533 385752 433971 450044 578628 675066 771504 867942 900088 1012599 1157256 1301913 1350132 1735884 1800176 2025198 2314512 2603826 2700264 3037797 3471768 3905739 4050396 5207652 5400528 6075594 6943536 7811478 8100792 9113391 10415304 11717217 12151188 15622956 16201584 18226782 20830608 23434434 24302376 27340173 31245912 36453564 46868868 48604752 54680346 62491824 72907128 82020519 93737736 109360692 145814256 164041038 187475472 218721384 328082076 437442768 656164152 1312328304