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14323104 = 2532411213
BaseRepresentation
bin110110101000…
…110110100000
3222221200121100
4312220312200
512131314404
61230554400
7232513215
oct66506640
928850540
1014323104
1180a3184
124968a00
132c76513
141c8bb0c
1513cdd39
hexda8da0

14323104 has 72 divisors (see below), whose sum is σ = 41759172. Its totient is φ = 4654080.

The previous prime is 14323103. The next prime is 14323121. The reversal of 14323104 is 40132341.

It can be written as a sum of positive squares in 2 ways, for example, as 10112400 + 4210704 = 3180^2 + 2052^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (14323103) 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 11 ways as a sum of consecutive naturals, for example, 11202 + ... + 12414.

Almost surely, 214323104 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 14323104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20879586).

14323104 is an abundant number, since it is smaller than the sum of its proper divisors (27436068).

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

14323104 is a wasteful number, since it uses less digits than its factorization.

14323104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270 (or 1259 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 14323104 is about 3784.5876922064. The cubic root of 14323104 is about 242.8542539119.

Adding to 14323104 its reverse (40132341), we get a palindrome (54455445).

The spelling of 14323104 in words is "fourteen million, three hundred twenty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 72 82 96 123 144 164 246 288 328 369 492 656 738 984 1213 1312 1476 1968 2426 2952 3639 3936 4852 5904 7278 9704 10917 11808 14556 19408 21834 29112 38816 43668 49733 58224 87336 99466 116448 149199 174672 198932 298398 349344 397864 447597 596796 795728 895194 1193592 1591456 1790388 2387184 3580776 4774368 7161552 14323104