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1312276224 = 28372310613
BaseRepresentation
bin100111000110111…
…1011111100000000
310101110021112120010
41032031323330000
510141420314344
6334114344520
744343110130
oct11615737400
93343245503
101312276224
11613822606
1230758b140
1317bb4590c
14c63d8ac0
157a3178b9
hex4e37bf00

1312276224 has 144 divisors (see below), whose sum is σ = 4165443072. Its totient is φ = 358600704.

The previous prime is 1312276219. The next prime is 1312276241. The reversal of 1312276224 is 4226722131.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1312276191 and 1312276200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118342 + ... + 128954.

It is an arithmetic number, because the mean of its divisors is an integer number (28926688).

Almost surely, 21312276224 is an apocalyptic number.

1312276224 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 1312276224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2082721536).

1312276224 is an abundant number, since it is smaller than the sum of its proper divisors (2853166848).

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

1312276224 is a wasteful number, since it uses less digits than its factorization.

1312276224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10662 (or 10648 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 1312276224 is about 36225.3533316102. The cubic root of 1312276224 is about 1094.8175572274.

Adding to 1312276224 its reverse (4226722131), we get a palindrome (5538998355).

The spelling of 1312276224 in words is "one billion, three hundred twelve million, two hundred seventy-six thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 64 69 84 92 96 112 128 138 161 168 184 192 224 256 276 322 336 368 384 448 483 552 644 672 736 768 896 966 1104 1288 1344 1472 1792 1932 2208 2576 2688 2944 3864 4416 5152 5376 5888 7728 8832 10304 10613 15456 17664 20608 21226 30912 31839 41216 42452 61824 63678 74291 84904 123648 127356 148582 169808 222873 244099 254712 297164 339616 445746 488198 509424 594328 679232 732297 891492 976396 1018848 1188656 1358464 1464594 1708693 1782984 1952792 2037696 2377312 2716928 2929188 3417386 3565968 3905584 4075392 4754624 5126079 5858376 6834772 7131936 7811168 8150784 9509248 10252158 11716752 13669544 14263872 15622336 19018496 20504316 23433504 27339088 28527744 31244672 41008632 46867008 54678176 57055488 62489344 82017264 93734016 109356352 164034528 187468032 218712704 328069056 437425408 656138112 1312276224