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14335104 = 27375333
BaseRepresentation
bin110110101011…
…110010000000
3222222022001210
4312223302000
512132210404
61231130120
7232563210
oct66536200
928868053
1014335104
1181011a3
124973940
132c7bb14
141c92240
1513d2689
hexdabc80

14335104 has 64 divisors (see below), whose sum is σ = 43525440. Its totient is φ = 4094976.

The previous prime is 14335093. The next prime is 14335121. The reversal of 14335104 is 40153341.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

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, 22 + ... + 5354.

It is an arithmetic number, because the mean of its divisors is an integer number (680085).

Almost surely, 214335104 is an apocalyptic number.

14335104 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 14335104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21762720).

14335104 is an abundant number, since it is smaller than the sum of its proper divisors (29190336).

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

14335104 is an equidigital number, since it uses as much as digits as its factorization.

14335104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5357 (or 5345 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 14335104 is about 3786.1727377393. The cubic root of 14335104 is about 242.9220566630.

Adding to 14335104 its reverse (40153341), we get a palindrome (54488445).

The spelling of 14335104 in words is "fourteen million, three hundred thirty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 5333 10666 15999 21332 31998 37331 42664 63996 74662 85328 111993 127992 149324 170656 223986 255984 298648 341312 447972 511968 597296 682624 895944 1023936 1194592 1791888 2047872 2389184 3583776 4778368 7167552 14335104