Search a number
-
+
1348086096 = 243276719961
BaseRepresentation
bin101000001011010…
…0010100101010000
310110221122212110200
41100112202211100
510230102223341
6341434055200
745256354110
oct12026424520
93427585420
101348086096
11631a61045
1231757a500
131863a31a6
14cb07b040
157d53cdb6
hex505a2950

1348086096 has 120 divisors (see below), whose sum is σ = 4376309184. Its totient is φ = 379399680.

The previous prime is 1348086073. The next prime is 1348086107. The reversal of 1348086096 is 6906808431.

1348086096 is a `hidden beast` number, since 1 + 3 + 480 + 86 + 0 + 96 = 666.

It is a super-2 number, since 2×13480860962 = 3634672244457042432, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 57556 + ... + 77516.

Almost surely, 21348086096 is an apocalyptic number.

1348086096 is a gapful number since it is divisible by the number (16) 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 1348086096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2188154592).

1348086096 is an abundant number, since it is smaller than the sum of its proper divisors (3028223088).

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

1348086096 is a wasteful number, since it uses less digits than its factorization.

1348086096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20049 (or 20040 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 1348086096 is about 36716.2919696420. The cubic root of 1348086096 is about 1104.6869149791.

The spelling of 1348086096 in words is "one billion, three hundred forty-eight million, eighty-six thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 67 72 84 112 126 134 144 168 201 252 268 336 402 469 504 536 603 804 938 1008 1072 1206 1407 1608 1876 2412 2814 3216 3752 4221 4824 5628 7504 8442 9648 11256 16884 19961 22512 33768 39922 59883 67536 79844 119766 139727 159688 179649 239532 279454 319376 359298 419181 479064 558908 718596 838362 958128 1117816 1257543 1337387 1437192 1676724 2235632 2515086 2674774 2874384 3353448 4012161 5030172 5349548 6706896 8024322 9361709 10060344 10699096 12036483 16048644 18723418 20120688 21398192 24072966 28085127 32097288 37446836 48145932 56170254 64194576 74893672 84255381 96291864 112340508 149787344 168510762 192583728 224681016 337021524 449362032 674043048 1348086096