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14440734 = 23371123151
BaseRepresentation
bin110111000101…
…100100011110
31000011122222000
4313011210132
512144100414
61233303130
7233513160
oct67054436
930148860
1014440734
1181735a0
124a04aa6
132cb7c19
141cbc930
151403b09
hexdc591e

14440734 has 128 divisors (see below), whose sum is σ = 42024960. Its totient is φ = 3564000.

The previous prime is 14440729. The next prime is 14440739. The reversal of 14440734 is 43704441.

It is an interprime number because it is at equal distance from previous prime (14440729) and next prime (14440739).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 14440698 and 14440707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14440739) 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 63 ways as a sum of consecutive naturals, for example, 95559 + ... + 95709.

It is an arithmetic number, because the mean of its divisors is an integer number (328320).

Almost surely, 214440734 is an apocalyptic number.

14440734 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14440734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21012480).

14440734 is an abundant number, since it is smaller than the sum of its proper divisors (27584226).

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

14440734 is a wasteful number, since it uses less digits than its factorization.

14440734 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 14440734 is about 3800.0965777201. The cubic root of 14440734 is about 243.5172642420.

It can be divided in two parts, 144407 and 34, that added together give a palindrome (144441).

The spelling of 14440734 in words is "fourteen million, four hundred forty thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 23 27 33 42 46 54 63 66 69 77 99 126 138 151 154 161 189 198 207 231 253 297 302 322 378 414 453 462 483 506 594 621 693 759 906 966 1057 1242 1359 1386 1449 1518 1661 1771 2079 2114 2277 2718 2898 3171 3322 3473 3542 4077 4158 4347 4554 4983 5313 6342 6831 6946 8154 8694 9513 9966 10419 10626 11627 13662 14949 15939 19026 20838 23254 24311 28539 29898 31257 31878 34881 38203 44847 47817 48622 57078 62514 69762 72933 76406 89694 93771 95634 104643 114609 145866 187542 209286 218799 229218 267421 313929 343827 437598 534842 627858 656397 687654 802263 1031481 1312794 1604526 2062962 2406789 4813578 7220367 14440734