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13230312 = 2333747317
BaseRepresentation
bin110010011110…
…000011101000
3220220011120120
4302132003220
511341332222
61151323240
7220312224
oct62360350
926804516
1013230312
117517147
124520520
132982cb4
141a85784
15126515c
hexc9e0e8

13230312 has 64 divisors (see below), whose sum is σ = 34801920. Its totient is φ = 4186368.

The previous prime is 13230307. The next prime is 13230341. The reversal of 13230312 is 21303231.

It is a junction number, because it is equal to n+sod(n) for n = 13230291 and 13230300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41578 + ... + 41894.

It is an arithmetic number, because the mean of its divisors is an integer number (543780).

Almost surely, 213230312 is an apocalyptic number.

13230312 is a gapful number since it is divisible by the number (12) 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 13230312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17400960).

13230312 is an abundant number, since it is smaller than the sum of its proper divisors (21571608).

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

13230312 is a wasteful number, since it uses less digits than its factorization.

13230312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 13230312 is about 3637.3495845189. The cubic root of 13230312 is about 236.5139140814.

Adding to 13230312 its reverse (21303231), we get a palindrome (34533543).

The spelling of 13230312 in words is "thirteen million, two hundred thirty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 37 47 74 94 111 141 148 188 222 282 296 317 376 444 564 634 888 951 1128 1268 1739 1902 2536 3478 3804 5217 6956 7608 10434 11729 13912 14899 20868 23458 29798 35187 41736 44697 46916 59596 70374 89394 93832 119192 140748 178788 281496 357576 551263 1102526 1653789 2205052 3307578 4410104 6615156 13230312