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14204034 = 23213101601
BaseRepresentation
bin110110001011…
…110010000010
3222201122021100
4312023302002
512114012114
61224235230
7231506115
oct66136202
928648240
1014204034
118021779
12490bb16
132c34270
141c5a57c
1513a8909
hexd8bc82

14204034 has 48 divisors (see below), whose sum is σ = 33526584. Its totient is φ = 4320000.

The previous prime is 14203979. The next prime is 14204051. The reversal of 14204034 is 43040241.

It can be written as a sum of positive squares in 4 ways, for example, as 14040009 + 164025 = 3747^2 + 405^2 .

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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 = 14203998 and 14204016.

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 23 ways as a sum of consecutive naturals, for example, 23334 + ... + 23934.

Almost surely, 214204034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14204034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16763292).

14204034 is an abundant number, since it is smaller than the sum of its proper divisors (19322550).

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

14204034 is a wasteful number, since it uses less digits than its factorization.

14204034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 720 counting only the distinct ones).

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

The square root of 14204034 is about 3768.8239544983. The cubic root of 14204034 is about 242.1794197984.

Adding to 14204034 its reverse (43040241), we get a palindrome (57244275).

The spelling of 14204034 in words is "fourteen million, two hundred four thousand, thirty-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 101 117 202 234 303 601 606 909 1202 1313 1803 1818 2626 3606 3939 5409 7813 7878 10818 11817 15626 23439 23634 46878 60701 70317 121402 140634 182103 364206 546309 789113 1092618 1578226 2367339 4734678 7102017 14204034