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12434208 = 2531719401
BaseRepresentation
bin101111011011…
…101100100000
3212101201112020
4233123230200
511140343313
61122301440
7210455223
oct57335440
925351466
1012434208
117023006
1241b7880
132764827
1419195ba
151159323
hexbdbb20

12434208 has 96 divisors (see below), whose sum is σ = 36469440. Its totient is φ = 3686400.

The previous prime is 12434207. The next prime is 12434231. The reversal of 12434208 is 80243421.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (12434203) 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 15 ways as a sum of consecutive naturals, for example, 30808 + ... + 31208.

It is an arithmetic number, because the mean of its divisors is an integer number (379890).

Almost surely, 212434208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12434208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18234720).

12434208 is an abundant number, since it is smaller than the sum of its proper divisors (24035232).

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

12434208 is a wasteful number, since it uses less digits than its factorization.

12434208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 12434208 is about 3526.2172366433. The cubic root of 12434208 is about 231.6715526691.

Adding to 12434208 its reverse (80243421), we get a palindrome (92677629).

The spelling of 12434208 in words is "twelve million, four hundred thirty-four thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 32 34 38 48 51 57 68 76 96 102 114 136 152 204 228 272 304 323 401 408 456 544 608 646 802 816 912 969 1203 1292 1604 1632 1824 1938 2406 2584 3208 3876 4812 5168 6416 6817 7619 7752 9624 10336 12832 13634 15238 15504 19248 20451 22857 27268 30476 31008 38496 40902 45714 54536 60952 81804 91428 109072 121904 129523 163608 182856 218144 243808 259046 327216 365712 388569 518092 654432 731424 777138 1036184 1554276 2072368 3108552 4144736 6217104 12434208