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102310384 = 24112692161
BaseRepresentation
bin1100001100100…
…10000111110000
321010111220110111
412012102013300
5202142413014
614052511104
72351424001
oct606220760
9233456414
10102310384
115282a340
122a31b494
13182722b7
14d8331a8
158eae2c4
hex61921f0

102310384 has 40 divisors (see below), whose sum is σ = 217151280. Its totient is φ = 46310400.

The previous prime is 102310363. The next prime is 102310387. The reversal of 102310384 is 483013201.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102310387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46264 + ... + 48424.

It is an arithmetic number, because the mean of its divisors is an integer number (5428782).

Almost surely, 2102310384 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 102310384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108575640).

102310384 is an abundant number, since it is smaller than the sum of its proper divisors (114840896).

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

102310384 is a wasteful number, since it uses less digits than its factorization.

102310384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2449 (or 2443 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 102310384 is about 10114.8595640276. The cubic root of 102310384 is about 467.7063197534.

Adding to 102310384 its reverse (483013201), we get a palindrome (585323585).

The spelling of 102310384 in words is "one hundred two million, three hundred ten thousand, three hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 269 538 1076 2152 2161 2959 4304 4322 5918 8644 11836 17288 23672 23771 34576 47344 47542 95084 190168 380336 581309 1162618 2325236 4650472 6394399 9300944 12788798 25577596 51155192 102310384