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1348667730 = 2325891371229
BaseRepresentation
bin101000001100011…
…0000100101010010
310110222202102022200
41100120300211102
510230224331410
6341454344030
745264325614
oct12030604522
93428672280
101348667730
11632319033
123177bb016
13186547b57
14cb18cdb4
157d6053c0
hex50630952

1348667730 has 96 divisors (see below), whose sum is σ = 3574724400. Its totient is φ = 352720896.

The previous prime is 1348667729. The next prime is 1348667731. The reversal of 1348667730 is 377668431.

It is an interprime number because it is at equal distance from previous prime (1348667729) and next prime (1348667731).

It can be written as a sum of positive squares in 8 ways, for example, as 864183609 + 484484121 = 29397^2 + 22011^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1348667731) 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 47 ways as a sum of consecutive naturals, for example, 1096756 + ... + 1097984.

Almost surely, 21348667730 is an apocalyptic number.

1348667730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1348667730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1787362200).

1348667730 is an abundant number, since it is smaller than the sum of its proper divisors (2226056670).

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

1348667730 is a wasteful number, since it uses less digits than its factorization.

1348667730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1468 (or 1465 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 1348667730 is about 36724.2117682599. The cubic root of 1348667730 is about 1104.8457651414.

The spelling of 1348667730 in words is "one billion, three hundred forty-eight million, six hundred sixty-seven thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 89 90 137 178 267 274 411 445 534 685 801 822 890 1229 1233 1335 1370 1602 2055 2458 2466 2670 3687 4005 4110 6145 6165 7374 8010 11061 12193 12290 12330 18435 22122 24386 36579 36870 55305 60965 73158 109381 109737 110610 121930 168373 182895 218762 219474 328143 336746 365790 505119 546905 548685 656286 841865 984429 1010238 1093810 1097370 1515357 1640715 1683730 1968858 2525595 3030714 3281430 4922145 5051190 7576785 9844290 14985197 15153570 29970394 44955591 74925985 89911182 134866773 149851970 224777955 269733546 449555910 674333865 1348667730