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14368068 = 223211132791
BaseRepresentation
bin110110110011…
…110101000100
31000000222021200
4312303311010
512134234233
61231542500
7233061261
oct66636504
930028250
1014368068
118123a40
12498aa30
132c90b20
141ca0268
1513dc313
hexdb3d44

14368068 has 72 divisors (see below), whose sum is σ = 42684096. Its totient is φ = 4017600.

The previous prime is 14368061. The next prime is 14368069. The reversal of 14368068 is 86086341.

It is a happy number.

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 (14368061) 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, 3753 + ... + 6543.

Almost surely, 214368068 is an apocalyptic number.

14368068 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 14368068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21342048).

14368068 is an abundant number, since it is smaller than the sum of its proper divisors (28316028).

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

14368068 is a wasteful number, since it uses less digits than its factorization.

14368068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2825 (or 2820 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 14368068 is about 3790.5234467023. The cubic root of 14368068 is about 243.1081162953.

The spelling of 14368068 in words is "fourteen million, three hundred sixty-eight thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 117 132 143 156 198 234 286 396 429 468 572 858 1287 1716 2574 2791 5148 5582 8373 11164 16746 25119 30701 33492 36283 50238 61402 72566 92103 100476 108849 122804 145132 184206 217698 276309 326547 368412 399113 435396 552618 653094 798226 1105236 1197339 1306188 1596452 2394678 3592017 4789356 7184034 14368068