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1300318704 = 243329271383
BaseRepresentation
bin100110110000001…
…0100100111110000
310100121210000221000
41031200110213300
510130340144304
6333010202000
744136345426
oct11540244760
93317700830
101300318704
11607aa5763
12303583300
1317951a069
14c49a5116
1579254939
hex4d8149f0

1300318704 has 160 divisors (see below), whose sum is σ = 3885465600. Its totient is φ = 415860480.

The previous prime is 1300318699. The next prime is 1300318717. The reversal of 1300318704 is 4078130031.

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 31 ways as a sum of consecutive naturals, for example, 3394897 + ... + 3395279.

It is an arithmetic number, because the mean of its divisors is an integer number (24284160).

Almost surely, 21300318704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1300318704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1942732800).

1300318704 is an abundant number, since it is smaller than the sum of its proper divisors (2585146896).

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

1300318704 is a wasteful number, since it uses less digits than its factorization.

1300318704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1300318704 is about 36059.9321130809. The cubic root of 1300318704 is about 1091.4820632808.

Adding to 1300318704 its reverse (4078130031), we get a palindrome (5378448735).

The spelling of 1300318704 in words is "one billion, three hundred million, three hundred eighteen thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 87 108 116 144 174 216 232 261 271 348 383 432 464 522 542 696 766 783 813 1044 1084 1149 1392 1532 1566 1626 2088 2168 2298 2439 3064 3132 3252 3447 4176 4336 4596 4878 6128 6264 6504 6894 7317 7859 9192 9756 10341 11107 12528 13008 13788 14634 15718 18384 19512 20682 22214 23577 27576 29268 31436 33321 39024 41364 44428 47154 55152 58536 62872 66642 70731 82728 88856 94308 99963 103793 117072 125744 133284 141462 165456 177712 188616 199926 207586 212193 266568 282924 299889 311379 377232 399852 415172 424386 533136 565848 599778 622758 799704 830344 848772 934137 1131696 1199556 1245516 1599408 1660688 1697544 1868274 2399112 2491032 2802411 3009997 3395088 3736548 4798224 4982064 5604822 6019994 7473096 9029991 11209644 12039988 14946192 18059982 22419288 24079976 27089973 36119964 44838576 48159952 54179946 72239928 81269919 108359892 144479856 162539838 216719784 325079676 433439568 650159352 1300318704