Search a number
-
+
14340564 = 223476323
BaseRepresentation
bin110110101101…
…000111010100
3222222120120000
4312231013110
512132344224
61231211300
7232615140
oct66550724
928876500
1014340564
118105307
124976b30
132c81454
141c94220
1513d40c9
hexdad1d4

14340564 has 60 divisors (see below), whose sum is σ = 42851424. Its totient is φ = 4096656.

The previous prime is 14340563. The next prime is 14340583. The reversal of 14340564 is 46504341.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14340563) 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 19 ways as a sum of consecutive naturals, for example, 894 + ... + 5429.

Almost surely, 214340564 is an apocalyptic number.

14340564 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 14340564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21425712).

14340564 is an abundant number, since it is smaller than the sum of its proper divisors (28510860).

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

14340564 is a wasteful number, since it uses less digits than its factorization.

14340564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6346 (or 6335 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 14340564 is about 3786.8937138504. The cubic root of 14340564 is about 242.9528943900.

The spelling of 14340564 in words is "fourteen million, three hundred forty thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 324 378 567 756 1134 2268 6323 12646 18969 25292 37938 44261 56907 75876 88522 113814 132783 170721 177044 227628 265566 341442 398349 512163 531132 682884 796698 1024326 1195047 1593396 2048652 2390094 3585141 4780188 7170282 14340564