Search a number
-
+
1348109088 = 253791491193
BaseRepresentation
bin101000001011010…
…1000001100100000
310110221201001000020
41100112220030200
510230103442323
6341434353440
745256511124
oct12026501440
93427631006
101348109088
11631a77347
1231758b880
131863b07b1
14cb085584
157d544ae3
hex505a8320

1348109088 has 96 divisors (see below), whose sum is σ = 3610656000. Its totient is φ = 440334336.

The previous prime is 1348109083. The next prime is 1348109099. The reversal of 1348109088 is 8809018431.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×13481090882 = 3634796226296383488, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1348109083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1129420 + ... + 1130612.

It is an arithmetic number, because the mean of its divisors is an integer number (37611000).

Almost surely, 21348109088 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 1348109088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1805328000).

1348109088 is an abundant number, since it is smaller than the sum of its proper divisors (2262546912).

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

1348109088 is a wasteful number, since it uses less digits than its factorization.

1348109088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1434 (or 1426 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The square root of 1348109088 is about 36716.6050718200. The cubic root of 1348109088 is about 1104.6931951955.

The spelling of 1348109088 in words is "one billion, three hundred forty-eight million, one hundred nine thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 79 96 149 158 237 298 316 447 474 596 632 894 948 1192 1193 1264 1788 1896 2384 2386 2528 3576 3579 3792 4768 4772 7152 7158 7584 9544 11771 14304 14316 19088 23542 28632 35313 38176 47084 57264 70626 94168 94247 114528 141252 177757 188336 188494 282504 282741 355514 376672 376988 533271 565008 565482 711028 753976 1066542 1130016 1130964 1422056 1507952 2133084 2261928 2844112 3015904 4266168 4523856 5688224 8532336 9047712 14042803 17064672 28085606 42128409 56171212 84256818 112342424 168513636 224684848 337027272 449369696 674054544 1348109088