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1299317328 = 243397101307
BaseRepresentation
bin100110101110010…
…0000001001010000
310100112220011022000
41031130200021100
510130111123303
6332532514000
744125005111
oct11534401120
93315804260
101299317328
11607481381
1230317b900
1317925932a
14c47c4208
1579107da3
hex4d720250

1299317328 has 160 divisors (see below), whose sum is σ = 3817672320. Its totient is φ = 423014400.

The previous prime is 1299317323. The next prime is 1299317329. The reversal of 1299317328 is 8237139921.

1299317328 is a `hidden beast` number, since 1 + 2 + 9 + 9 + 317 + 328 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1299317321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4232151 + ... + 4232457.

It is an arithmetic number, because the mean of its divisors is an integer number (23860452).

Almost surely, 21299317328 is an apocalyptic number.

1299317328 is a gapful number since it is divisible by the number (18) 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 1299317328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1908836160).

1299317328 is an abundant number, since it is smaller than the sum of its proper divisors (2518354992).

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

1299317328 is a wasteful number, since it uses less digits than its factorization.

1299317328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 510 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 1299317328 is about 36046.0445541532. The cubic root of 1299317328 is about 1091.2018077228.

The spelling of 1299317328 in words is "one billion, two hundred ninety-nine million, three hundred seventeen thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 97 101 108 144 194 202 216 291 303 307 388 404 432 582 606 614 776 808 873 909 921 1164 1212 1228 1552 1616 1746 1818 1842 2328 2424 2456 2619 2727 2763 3492 3636 3684 4656 4848 4912 5238 5454 5526 6984 7272 7368 8289 9797 10476 10908 11052 13968 14544 14736 16578 19594 20952 21816 22104 29391 29779 31007 33156 39188 41904 43632 44208 58782 59558 62014 66312 78376 88173 89337 93021 117564 119116 124028 132624 156752 176346 178674 186042 235128 238232 248056 264519 268011 279063 352692 357348 372084 470256 476464 496112 529038 536022 558126 705384 714696 744168 804033 837189 1058076 1072044 1116252 1410768 1429392 1488336 1608066 1674378 2116152 2144088 2232504 3007679 3216132 3348756 4232304 4288176 4465008 6015358 6432264 6697512 9023037 12030716 12864528 13395024 18046074 24061432 27069111 36092148 48122864 54138222 72184296 81207333 108276444 144368592 162414666 216552888 324829332 433105776 649658664 1299317328