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14017332 = 2237231769
BaseRepresentation
bin110101011110…
…001100110100
3222101011011110
4311132030310
512042023312
61220235020
7230100600
oct65361464
928334143
1014017332
117a0447a
12483ba70
132b9a2a4
141c0c500
15136d43c
hexd5e334

14017332 has 72 divisors (see below), whose sum is σ = 39325440. Its totient is φ = 3870720.

The previous prime is 14017259. The next prime is 14017337. The reversal of 14017332 is 23371041.

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

It is a junction number, because it is equal to n+sod(n) for n = 14017299 and 14017308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14017337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17844 + ... + 18612.

Almost surely, 214017332 is an apocalyptic number.

14017332 is a gapful number since it is divisible by the number (12) 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 14017332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19662720).

14017332 is an abundant number, since it is smaller than the sum of its proper divisors (25308108).

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

14017332 is a wasteful number, since it uses less digits than its factorization.

14017332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 14017332 is about 3743.9727563111. The cubic root of 14017332 is about 241.1136439399.

Adding to 14017332 its reverse (23371041), we get a palindrome (37388373).

The spelling of 14017332 in words is "fourteen million, seventeen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 49 62 84 93 98 124 147 186 196 217 294 372 434 588 651 769 868 1302 1519 1538 2307 2604 3038 3076 4557 4614 5383 6076 9114 9228 10766 16149 18228 21532 23839 32298 37681 47678 64596 71517 75362 95356 113043 143034 150724 166873 226086 286068 333746 452172 500619 667492 1001238 1168111 2002476 2336222 3504333 4672444 7008666 14017332