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12352968 = 2332374637
BaseRepresentation
bin101111000111…
…110111001000
3212020121002100
4233013313020
511130243333
61120433400
7206666325
oct57076710
925217070
1012352968
116a77a71
124178860
132736864
1418d7b4c
151140213
hexbc7dc8

12352968 has 48 divisors (see below), whose sum is σ = 34367580. Its totient is φ = 4005504.

The previous prime is 12352943. The next prime is 12352979. The reversal of 12352968 is 86925321.

12352968 is a `hidden beast` number, since 123 + 529 + 6 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12236004 + 116964 = 3498^2 + 342^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 346 + ... + 4982.

Almost surely, 212352968 is an apocalyptic number.

12352968 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 12352968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17183790).

12352968 is an abundant number, since it is smaller than the sum of its proper divisors (22014612).

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

12352968 is a wasteful number, since it uses less digits than its factorization.

12352968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4686 (or 4679 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 12352968 is about 3514.6789327049. The cubic root of 12352968 is about 231.1659009508.

The spelling of 12352968 in words is "twelve million, three hundred fifty-two thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 444 666 888 1332 2664 4637 9274 13911 18548 27822 37096 41733 55644 83466 111288 166932 171569 333864 343138 514707 686276 1029414 1372552 1544121 2058828 3088242 4117656 6176484 12352968