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10380348 = 22321122383
BaseRepresentation
bin100111100110…
…010000111100
3201112101011100
4213212100330
510124132343
61010253100
7154142256
oct47462074
921471140
1010380348
11594aa00
123587190
1321c5a24
141542cd6
15da09d3
hex9e643c

10380348 has 54 divisors (see below), whose sum is σ = 28853552. Its totient is φ = 3144240.

The previous prime is 10380343. The next prime is 10380361. The reversal of 10380348 is 84308301.

10380348 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×103803482 = 215503249202208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10380343) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3165 + ... + 5547.

Almost surely, 210380348 is an apocalyptic number.

10380348 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 10380348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14426776).

10380348 is an abundant number, since it is smaller than the sum of its proper divisors (18473204).

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

10380348 is a wasteful number, since it uses less digits than its factorization.

10380348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2415 (or 2399 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 10380348 is about 3221.8547453292. The cubic root of 10380348 is about 218.1410024029.

Adding to 10380348 its reverse (84308301), we get a palindrome (94688649).

The spelling of 10380348 in words is "ten million, three hundred eighty thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 2178 2383 4356 4766 7149 9532 14298 21447 26213 28596 42894 52426 78639 85788 104852 157278 235917 288343 314556 471834 576686 865029 943668 1153372 1730058 2595087 3460116 5190174 10380348