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12434976 = 253243177
BaseRepresentation
bin101111011011…
…111000100000
3212101202120200
4233123320200
511140404401
61122305200
7210460401
oct57337040
925352520
1012434976
117023644
1241b8200
132764c98
1419199a8
151159686
hexbdbe20

12434976 has 36 divisors (see below), whose sum is σ = 35362782. Its totient is φ = 4144896.

The previous prime is 12434971. The next prime is 12434993. The reversal of 12434976 is 67943421.

It can be written as a sum of positive squares in only one way, i.e., 10112400 + 2322576 = 3180^2 + 1524^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 12434976.

It is not an unprimeable number, because it can be changed into a prime (12434971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 21301 + ... + 21876.

Almost surely, 212434976 is an apocalyptic number.

12434976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12434976 is an abundant number, since it is smaller than the sum of its proper divisors (22927806).

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

12434976 is a wasteful number, since it uses less digits than its factorization.

12434976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43193 (or 43182 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 12434976 is about 3526.3261335276. The cubic root of 12434976 is about 231.6763223092.

The spelling of 12434976 in words is "twelve million, four hundred thirty-four thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 43177 86354 129531 172708 259062 345416 388593 518124 690832 777186 1036248 1381664 1554372 2072496 3108744 4144992 6217488 12434976