Search a number
-
+
1349112708 = 2232194173659
BaseRepresentation
bin101000001101001…
…1101001110000100
310111000121000201100
41100122131032010
510230333101313
6341512100100
745301161126
oct12032351604
93430530640
101349112708
116325a2389
12317994630
13186672558
14cb267216
157d692173
hex5069d384

1349112708 has 144 divisors (see below), whose sum is σ = 3733329600. Its totient is φ = 409328640.

The previous prime is 1349112691. The next prime is 1349112719. The reversal of 1349112708 is 8072119431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 2046883 + ... + 2047541.

It is an arithmetic number, because the mean of its divisors is an integer number (25925900).

Almost surely, 21349112708 is an apocalyptic number.

1349112708 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 1349112708, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1866664800).

1349112708 is an abundant number, since it is smaller than the sum of its proper divisors (2384216892).

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

1349112708 is a wasteful number, since it uses less digits than its factorization.

1349112708 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 1349112708 is about 36730.2696423536. The cubic root of 1349112708 is about 1104.9672623266.

The spelling of 1349112708 in words is "one billion, three hundred forty-nine million, one hundred twelve thousand, seven hundred eight".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 41 57 73 76 82 114 123 146 164 171 219 228 246 292 342 369 438 492 657 659 684 738 779 876 1314 1318 1387 1476 1558 1977 2337 2628 2636 2774 2993 3116 3954 4161 4674 5548 5931 5986 7011 7908 8322 8979 9348 11862 11972 12483 12521 14022 16644 17958 23724 24966 25042 26937 27019 28044 35916 37563 48107 49932 50084 53874 54038 56867 75126 81057 96214 107748 108076 112689 113734 144321 150252 162114 170601 192428 225378 227468 243171 288642 324228 341202 432963 450756 486342 511803 513361 577284 682404 865926 914033 972684 1023606 1026722 1540083 1731852 1828066 1972387 2047212 2053444 2742099 3080166 3656132 3944774 4620249 5484198 5917161 6160332 7889548 8226297 9240498 10968396 11834322 16452594 17751483 18480996 23668644 32905188 35502966 37475353 71005932 74950706 112426059 149901412 224852118 337278177 449704236 674556354 1349112708