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10343312 = 247279167
BaseRepresentation
bin100111011101…
…001110010000
3201110111100122
4213131032100
510121441222
61005405412
7153626300
oct47351620
921414318
1010343312
1159250a1
123569868
1321b1c05
141533600
15d94a42
hex9dd390

10343312 has 60 divisors (see below), whose sum is σ = 23748480. Its totient is φ = 4350528.

The previous prime is 10343299. The next prime is 10343323. The reversal of 10343312 is 21334301.

It is a happy number.

10343312 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

10343312 is strictly pandigital in base 8.

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, 61853 + ... + 62019.

It is an arithmetic number, because the mean of its divisors is an integer number (395808).

Almost surely, 210343312 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 10343312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11874240).

10343312 is an abundant number, since it is smaller than the sum of its proper divisors (13405168).

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

10343312 is a wasteful number, since it uses less digits than its factorization.

10343312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 10343312 is about 3216.1019884326. The cubic root of 10343312 is about 217.8812584558.

Adding to 10343312 its reverse (21334301), we get a palindrome (31677613).

The spelling of 10343312 in words is "ten million, three hundred forty-three thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 49 56 79 98 112 158 167 196 316 334 392 553 632 668 784 1106 1169 1264 1336 2212 2338 2672 3871 4424 4676 7742 8183 8848 9352 13193 15484 16366 18704 26386 30968 32732 52772 61936 65464 92351 105544 130928 184702 211088 369404 646457 738808 1292914 1477616 2585828 5171656 10343312