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10327338 = 234721301
BaseRepresentation
bin100111011001…
…010100101010
3201102200110000
4213121110222
510120433323
61005203430
7153531600
oct47312452
921380400
1010327338
11591409a
123560576
1321a7868
14152b870
15d8ee43
hex9d952a

10327338 has 60 divisors (see below), whose sum is σ = 26939682. Its totient is φ = 2948400.

The previous prime is 10327333. The next prime is 10327349. The reversal of 10327338 is 83372301.

10327338 is a `hidden beast` number, since 1 + 0 + 327 + 338 = 666.

10327338 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 10323369 + 3969 = 3213^2 + 63^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10327333) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 7288 + ... + 8588.

Almost surely, 210327338 is an apocalyptic number.

10327338 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10327338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13469841).

10327338 is an abundant number, since it is smaller than the sum of its proper divisors (16612344).

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

10327338 is a wasteful number, since it uses less digits than its factorization.

10327338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1329 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 10327338 is about 3213.6175877039. The cubic root of 10327338 is about 217.7690368752.

Adding to 10327338 its reverse (83372301), we get a palindrome (93699639).

The spelling of 10327338 in words is "ten million, three hundred twenty-seven thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 294 378 441 567 882 1134 1301 1323 2602 2646 3903 3969 7806 7938 9107 11709 18214 23418 27321 35127 54642 63749 70254 81963 105381 127498 163926 191247 210762 245889 382494 491778 573741 737667 1147482 1475334 1721223 3442446 5163669 10327338