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14328468 = 22337111723
BaseRepresentation
bin110110101010…
…001010010100
3222221221222000
4312222022110
512132002333
61231035300
7232534650
oct66521224
928857860
1014328468
1180a7210
12496bb30
132c78aab
141c8da60
1513d0713
hexdaa294

14328468 has 96 divisors (see below), whose sum is σ = 46341120. Its totient is φ = 3719520.

The previous prime is 14328463. The next prime is 14328469. The reversal of 14328468 is 86482341.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14328463) 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 31 ways as a sum of consecutive naturals, for example, 7455 + ... + 9177.

It is an arithmetic number, because the mean of its divisors is an integer number (482720).

Almost surely, 214328468 is an apocalyptic number.

14328468 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 14328468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23170560).

14328468 is an abundant number, since it is smaller than the sum of its proper divisors (32012652).

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

14328468 is a wasteful number, since it uses less digits than its factorization.

14328468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1754 (or 1746 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 14328468 is about 3785.2962895921. The cubic root of 14328468 is about 242.8845664204.

The spelling of 14328468 in words is "fourteen million, three hundred twenty-eight thousand, four 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 84 99 108 126 132 154 189 198 231 252 297 308 378 396 462 594 693 756 924 1188 1386 1723 2079 2772 3446 4158 5169 6892 8316 10338 12061 15507 18953 20676 24122 31014 36183 37906 46521 48244 56859 62028 72366 75812 93042 108549 113718 132671 144732 170577 186084 217098 227436 265342 325647 341154 398013 434196 511731 530684 651294 682308 796026 1023462 1194039 1302588 1592052 2046924 2388078 3582117 4776156 7164234 14328468