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14230384 = 24732593
BaseRepresentation
bin110110010010…
…001101110000
3222202222102021
4312102031300
512120333014
61225001224
7231646000
oct66221560
928688367
1014230384
11803a553
124923214
132c4325c
141c66000
1513b1624
hexd92370

14230384 has 40 divisors (see below), whose sum is σ = 32165600. Its totient is φ = 6096384.

The previous prime is 14230379. The next prime is 14230397. The reversal of 14230384 is 48303241.

14230384 = 72 + 82 + ... + 3492.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 4192 + ... + 6784.

It is an arithmetic number, because the mean of its divisors is an integer number (804140).

Almost surely, 214230384 is an apocalyptic number.

14230384 is a gapful number since it is divisible by the number (14) 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 14230384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16082800).

14230384 is an abundant number, since it is smaller than the sum of its proper divisors (17935216).

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

14230384 is an equidigital number, since it uses as much as digits as its factorization.

14230384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2622 (or 2602 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 14230384 is about 3772.3181202014. The cubic root of 14230384 is about 242.3290835183.

The spelling of 14230384 in words is "fourteen million, two hundred thirty thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 343 392 686 784 1372 2593 2744 5186 5488 10372 18151 20744 36302 41488 72604 127057 145208 254114 290416 508228 889399 1016456 1778798 2032912 3557596 7115192 14230384