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14350434 = 237319367
BaseRepresentation
bin110110101111…
…100001100010
31000000002002120
4312233201202
512133203214
61231325110
7232656000
oct66574142
930002076
1014350434
11811176a
124980796
132c85aa7
141c97a70
1513d6ea9
hexdaf862

14350434 has 64 divisors (see below), whose sum is σ = 35328000. Its totient is φ = 3873744.

The previous prime is 14350421. The next prime is 14350481. The reversal of 14350434 is 43405341.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 38919 + ... + 39285.

It is an arithmetic number, because the mean of its divisors is an integer number (552000).

Almost surely, 214350434 is an apocalyptic number.

14350434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14350434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17664000).

14350434 is an abundant number, since it is smaller than the sum of its proper divisors (20977566).

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

14350434 is a wasteful number, since it uses less digits than its factorization.

14350434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 14350434 is about 3788.1966686010. The cubic root of 14350434 is about 243.0086196539.

Adding to 14350434 its reverse (43405341), we get a palindrome (57755775).

The spelling of 14350434 in words is "fourteen million, three hundred fifty thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 14 19 21 38 42 49 57 98 114 133 147 266 294 343 367 399 686 734 798 931 1029 1101 1862 2058 2202 2569 2793 5138 5586 6517 6973 7707 13034 13946 15414 17983 19551 20919 35966 39102 41838 48811 53949 97622 107898 125881 146433 251762 292866 341677 377643 683354 755286 1025031 2050062 2391739 4783478 7175217 14350434