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103864384 = 2613314027
BaseRepresentation
bin1100011000011…
…01100001000000
321020102212011001
412030031201000
5203042130014
614150101344
72400555421
oct614154100
9236385131
10103864384
11536a0938
122a94a854
1318697720
14db19648
1591b9974
hex630d840

103864384 has 56 divisors (see below), whose sum is σ = 229177088. Its totient is φ = 46379520.

The previous prime is 103864379. The next prime is 103864403. The reversal of 103864384 is 483468301.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23779 + ... + 27805.

It is an arithmetic number, because the mean of its divisors is an integer number (4092448).

Almost surely, 2103864384 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 103864384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114588544).

103864384 is an abundant number, since it is smaller than the sum of its proper divisors (125312704).

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

103864384 is a wasteful number, since it uses less digits than its factorization.

103864384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4083 (or 4073 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The square root of 103864384 is about 10191.3877367118. The cubic root of 103864384 is about 470.0624392676.

The spelling of 103864384 in words is "one hundred three million, eight hundred sixty-four thousand, three hundred eighty-four".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 104 124 208 248 403 416 496 806 832 992 1612 1984 3224 4027 6448 8054 12896 16108 25792 32216 52351 64432 104702 124837 128864 209404 249674 257728 418808 499348 837616 998696 1622881 1675232 1997392 3245762 3350464 3994784 6491524 7989568 12983048 25966096 51932192 103864384