Search a number
-
+
12306352356 = 223461632
BaseRepresentation
bin10110111011000010…
…00000100011100100
31011202122120110210000
423131201000203210
5200200411233411
65353051501300
7613651161204
oct133541004344
934678513700
1012306352356
115245684741
122475457830
131211777acc
1484a5a6404
154c05d6956
hex2dd8408e4

12306352356 has 45 divisors (see below), whose sum is σ = 32176456851. Its totient is φ = 4101451848.

The previous prime is 12306352319. The next prime is 12306352361. The reversal of 12306352356 is 65325360321.

The square root of 12306352356 is 110934.

It is a perfect power (a square), and thus also a powerful number.

12306352356 is a `hidden beast` number, since 1 + 23 + 0 + 63 + 523 + 56 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12306352356.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1993731 + ... + 1999893.

Almost surely, 212306352356 is an apocalyptic number.

12306352356 is the 110934-th square number.

It is an amenable number.

12306352356 is an abundant number, since it is smaller than the sum of its proper divisors (19870104495).

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

12306352356 is an frugal number, since it uses more digits than its factorization.

12306352356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12342 (or 6168 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

Multiplying 12306352356 by its sum of digits (36), we get a square (443028684816 = 6656042).

12306352356 divided by its sum of digits (36) gives a square (341843121 = 184892).

The spelling of 12306352356 in words is "twelve billion, three hundred six million, three hundred fifty-two thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 6163 12326 18489 24652 36978 55467 73956 110934 166401 221868 332802 499203 665604 998406 1996812 37982569 75965138 113947707 151930276 227895414 341843121 455790828 683686242 1025529363 1367372484 2051058726 3076588089 4102117452 6153176178 12306352356