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14744268 = 2235711197
BaseRepresentation
bin111000001111…
…101011001100
31000202002100000
4320033223030
512233304033
61244004300
7236216130
oct70175314
930662300
1014744268
118360650
124b30690
133093126
141d5b3c0
151463a13
hexe0facc

14744268 has 144 divisors (see below), whose sum is σ = 48432384. Its totient is φ = 3810240.

The previous prime is 14744243. The next prime is 14744269. The reversal of 14744268 is 86244741.

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

It is not an unprimeable number, because it can be changed into a prime (14744269) 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 47 ways as a sum of consecutive naturals, for example, 74746 + ... + 74942.

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

Almost surely, 214744268 is an apocalyptic number.

14744268 is a gapful number since it is divisible by the number (18) 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 14744268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24216192).

14744268 is an abundant number, since it is smaller than the sum of its proper divisors (33688116).

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

14744268 is a wasteful number, since it uses less digits than its factorization.

14744268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 220 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 14744268 is about 3839.8265585831. The cubic root of 14744268 is about 245.2116344329.

The spelling of 14744268 in words is "fourteen million, seven hundred forty-four thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 77 81 84 99 108 126 132 154 162 189 197 198 231 243 252 297 308 324 378 394 396 462 486 567 591 594 693 756 788 891 924 972 1134 1182 1188 1379 1386 1701 1773 1782 2079 2167 2268 2364 2673 2758 2772 3402 3546 3564 4137 4158 4334 5319 5346 5516 6237 6501 6804 7092 8274 8316 8668 10638 10692 12411 12474 13002 15169 15957 16548 18711 19503 21276 24822 24948 26004 30338 31914 37233 37422 39006 45507 47871 49644 58509 60676 63828 74466 74844 78012 91014 95742 111699 117018 136521 148932 175527 182028 191484 223398 234036 273042 335097 351054 409563 446796 526581 546084 670194 702108 819126 1053162 1228689 1340388 1638252 2106324 2457378 3686067 4914756 7372134 14744268