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14340042 = 232312829
BaseRepresentation
bin110110101100…
…111111001010
3222222112211200
4312230333022
512132340132
61231205030
7232613463
oct66547712
928875750
1014340042
118104982
124976776
132c81142
141c93d6a
1513d3d7c
hexdacfca

14340042 has 36 divisors (see below), whose sum is σ = 32143410. Its totient is φ = 4620240.

The previous prime is 14340019. The next prime is 14340043. The reversal of 14340042 is 24004341.

It can be written as a sum of positive squares in only one way, i.e., 11840481 + 2499561 = 3441^2 + 1581^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 14339997 and 14340024.

It is not an unprimeable number, because it can be changed into a prime (14340043) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 16884 + ... + 17712.

Almost surely, 214340042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14340042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16071705).

14340042 is an abundant number, since it is smaller than the sum of its proper divisors (17803368).

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

14340042 is a wasteful number, since it uses less digits than its factorization.

14340042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 14340042 is about 3786.8247912994. The cubic root of 14340042 is about 242.9499465061.

Adding to 14340042 its reverse (24004341), we get a palindrome (38344383).

The spelling of 14340042 in words is "fourteen million, three hundred forty thousand, forty-two".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 558 829 961 1658 1922 2487 2883 4974 5766 7461 8649 14922 17298 25699 51398 77097 154194 231291 462582 796669 1593338 2390007 4780014 7170021 14340042