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14307104 = 257232777
BaseRepresentation
bin110110100100…
…111100100000
3222220212122202
4312210330200
512130311404
61230352332
7232415450
oct66447440
928825582
1014307104
118092159
12495b6a8
132c6c156
141c85d60
1513c921e
hexda4f20

14307104 has 48 divisors (see below), whose sum is σ = 33602688. Its totient is φ = 5862912.

The previous prime is 14307101. The next prime is 14307107. The reversal of 14307104 is 40170341.

It is an interprime number because it is at equal distance from previous prime (14307101) and next prime (14307107).

It is not an unprimeable number, because it can be changed into a prime (14307101) 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, 3764 + ... + 6540.

It is an arithmetic number, because the mean of its divisors is an integer number (700056).

Almost surely, 214307104 is an apocalyptic number.

14307104 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 14307104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16801344).

14307104 is an abundant number, since it is smaller than the sum of its proper divisors (19295584).

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

14307104 is a wasteful number, since it uses less digits than its factorization.

14307104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2817 (or 2809 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 14307104 is about 3782.4732649419. The cubic root of 14307104 is about 242.7637913087.

Adding to 14307104 its reverse (40170341), we get a palindrome (54477445).

The spelling of 14307104 in words is "fourteen million, three hundred seven thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 92 112 161 184 224 322 368 644 736 1288 2576 2777 5152 5554 11108 19439 22216 38878 44432 63871 77756 88864 127742 155512 255484 311024 447097 510968 622048 894194 1021936 1788388 2043872 3576776 7153552 14307104