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17142384 = 2437163313
BaseRepresentation
bin100000101100…
…1001001110000
31012020220221010
41001121021300
513342024014
61411230520
7265464540
oct101311160
935226833
1017142384
119749366
1258a8440
13372282c
1423c3320
151789359
hex1059270

17142384 has 80 divisors (see below), whose sum is σ = 51084032. Its totient is φ = 4852224.

The previous prime is 17142361. The next prime is 17142401. The reversal of 17142384 is 48324171.

It is a super-2 number, since 2×171423842 = 587722658406912, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54612 + ... + 54924.

Almost surely, 217142384 is an apocalyptic number.

17142384 is a gapful number since it is divisible by the number (14) 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 17142384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25542016).

17142384 is an abundant number, since it is smaller than the sum of its proper divisors (33941648).

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

17142384 is a wasteful number, since it uses less digits than its factorization.

17142384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 488 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 17142384 is about 4140.3362182316. The cubic root of 17142384 is about 257.8440256692.

The spelling of 17142384 in words is "seventeen million, one hundred forty-two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 163 168 313 326 336 489 626 652 939 978 1141 1252 1304 1878 1956 2191 2282 2504 2608 3423 3756 3912 4382 4564 5008 6573 6846 7512 7824 8764 9128 13146 13692 15024 17528 18256 26292 27384 35056 51019 52584 54768 102038 105168 153057 204076 306114 357133 408152 612228 714266 816304 1071399 1224456 1428532 2142798 2448912 2857064 4285596 5714128 8571192 17142384