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3846096 = 243329307
BaseRepresentation
bin1110101010111111010000
321020101212000
432222333100
51441033341
6214234000
744456052
oct16527720
97211760
103846096
1121976a1
121355900
13a487c7
147218d2
1550e8b6
hex3aafd0

3846096 has 80 divisors (see below), whose sum is σ = 11457600. Its totient is φ = 1233792.

The previous prime is 3846023. The next prime is 3846103. The reversal of 3846096 is 6906483.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3846096.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12375 + ... + 12681.

It is an arithmetic number, because the mean of its divisors is an integer number (143220).

Almost surely, 23846096 is an apocalyptic number.

3846096 is a gapful number since it is divisible by the number (36) 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 3846096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5728800).

3846096 is an abundant number, since it is smaller than the sum of its proper divisors (7611504).

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

3846096 is a wasteful number, since it uses less digits than its factorization.

3846096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3846096 is about 1961.1466033930. The cubic root of 3846096 is about 156.6775265346.

The spelling of 3846096 in words is "three million, eight hundred forty-six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 87 108 116 144 174 216 232 261 307 348 432 464 522 614 696 783 921 1044 1228 1392 1566 1842 2088 2456 2763 3132 3684 4176 4912 5526 6264 7368 8289 8903 11052 12528 14736 16578 17806 22104 26709 33156 35612 44208 53418 66312 71224 80127 106836 132624 142448 160254 213672 240381 320508 427344 480762 641016 961524 1282032 1923048 3846096