Search a number
-
+
12343310352 = 2432129766089
BaseRepresentation
bin10110111111011011…
…11111100000010000
31011212020010010121200
423133231333200100
5200234341412402
65400451551200
7614610256362
oct133755774020
934766103550
1012343310352
11526452783a
1224858bb500
131219317b49
14851466d32
154c398721c
hex2dfb7f810

12343310352 has 60 divisors (see below), whose sum is σ = 34571282460. Its totient is φ = 4111202304.

The previous prime is 12343310351. The next prime is 12343310437. The reversal of 12343310352 is 25301334321.

12343310352 is a `hidden beast` number, since 1 + 2 + 343 + 310 + 3 + 5 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8731781136 + 3611529216 = 93444^2 + 60096^2 .

It is not an unprimeable number, because it can be changed into a prime (12343310351) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 153724 + ... + 219812.

It is an arithmetic number, because the mean of its divisors is an integer number (576188041).

Almost surely, 212343310352 is an apocalyptic number.

12343310352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12343310352 is an abundant number, since it is smaller than the sum of its proper divisors (22227972108).

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

12343310352 is a wasteful number, since it uses less digits than its factorization.

12343310352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67400 (or 67391 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 12343310352 its reverse (25301334321), we get a palindrome (37644644673).

The spelling of 12343310352 in words is "twelve billion, three hundred forty-three million, three hundred ten thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1297 2594 3891 5188 7782 10376 11673 15564 20752 23346 31128 46692 62256 66089 93384 132178 186768 198267 264356 396534 528712 594801 793068 1057424 1189602 1586136 2379204 3172272 4758408 9516816 85717433 171434866 257152299 342869732 514304598 685739464 771456897 1028609196 1371478928 1542913794 2057218392 3085827588 4114436784 6171655176 12343310352