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14234976 = 2532723307
BaseRepresentation
bin110110010011…
…010101100000
3222210012201100
4312103111200
512121004401
61225034400
7231665250
oct66232540
928705640
1014234976
118042a48
124925a00
132c45382
141c67960
1513b2b86
hexd93560

14234976 has 144 divisors (see below), whose sum is σ = 48432384. Its totient is φ = 3877632.

The previous prime is 14234951. The next prime is 14234977. The reversal of 14234976 is 67943241.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 14234976.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14234977) 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 23 ways as a sum of consecutive naturals, for example, 46215 + ... + 46521.

It is an arithmetic number, because the mean of its divisors is an integer number (336336).

Almost surely, 214234976 is an apocalyptic number.

14234976 is a gapful number since it is divisible by the number (16) 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 14234976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24216192).

14234976 is an abundant number, since it is smaller than the sum of its proper divisors (34197408).

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

14234976 is a wasteful number, since it uses less digits than its factorization.

14234976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 342 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 14234976 is about 3772.9267154293. The cubic root of 14234976 is about 242.3551464242.

The spelling of 14234976 in words is "fourteen million, two hundred thirty-four thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 28 32 36 42 46 48 56 63 69 72 84 92 96 112 126 138 144 161 168 184 207 224 252 276 288 307 322 336 368 414 483 504 552 614 644 672 736 828 921 966 1008 1104 1228 1288 1449 1656 1842 1932 2016 2149 2208 2456 2576 2763 2898 3312 3684 3864 4298 4912 5152 5526 5796 6447 6624 7061 7368 7728 8596 9824 11052 11592 12894 14122 14736 15456 17192 19341 21183 22104 23184 25788 28244 29472 34384 38682 42366 44208 46368 49427 51576 56488 63549 68768 77364 84732 88416 98854 103152 112976 127098 148281 154728 169464 197708 206304 225952 254196 296562 309456 338928 395416 444843 508392 593124 618912 677856 790832 889686 1016784 1186248 1581664 1779372 2033568 2372496 3558744 4744992 7117488 14234976