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12340368 = 243217712
BaseRepresentation
bin101111000100…
…110010010000
3212012221210200
4233010302100
511124342433
61120255200
7206614515
oct57046220
925187720
1012340368
116a69557
124171500
132730bc1
1418d330c
15113b613
hexbc4c90

12340368 has 90 divisors (see below), whose sum is σ = 37089702. Its totient is φ = 3816960.

The previous prime is 12340343. The next prime is 12340373. The reversal of 12340368 is 86304321.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 11614464 + 725904 = 3408^2 + 852^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 173773 + ... + 173843.

It is a vampire number, since it can be written as 34083621 (with its own digits).

Almost surely, 212340368 is an apocalyptic number.

12340368 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 12340368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18544851).

12340368 is an abundant number, since it is smaller than the sum of its proper divisors (24749334).

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

12340368 is a wasteful number, since it uses less digits than its factorization.

12340368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 12340368 is about 3512.8859930262. The cubic root of 12340368 is about 231.0872779773.

Adding to 12340368 its reverse (86304321), we get a palindrome (98644689).

The spelling of 12340368 in words is "twelve million, three hundred forty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 71 72 102 136 142 144 153 204 213 272 284 306 408 426 568 612 639 816 852 1136 1207 1224 1278 1704 2414 2448 2556 3408 3621 4828 5041 5112 7242 9656 10082 10224 10863 14484 15123 19312 20164 21726 28968 30246 40328 43452 45369 57936 60492 80656 85697 86904 90738 120984 171394 173808 181476 241968 257091 342788 362952 514182 685576 725904 771273 1028364 1371152 1542546 2056728 3085092 4113456 6170184 12340368