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14034006 = 2337137271
BaseRepresentation
bin110101100010…
…010001010110
3222102000001000
4311202101112
512043042011
61220444130
7230200320
oct65422126
928360030
1014034006
117a15a58
124849646
132ba4a5c
141c14610
151373356
hexd62456

14034006 has 64 divisors (see below), whose sum is σ = 36034560. Its totient is φ = 3965760.

The previous prime is 14033969. The next prime is 14034019. The reversal of 14034006 is 60043041.

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

It is a self number, because there is not a number n which added to its sum of digits gives 14034006.

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 31 ways as a sum of consecutive naturals, for example, 51651 + ... + 51921.

It is an arithmetic number, because the mean of its divisors is an integer number (563040).

Almost surely, 214034006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14034006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18017280).

14034006 is an abundant number, since it is smaller than the sum of its proper divisors (22000554).

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

14034006 is a wasteful number, since it uses less digits than its factorization.

14034006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 14034006 is about 3746.1988735250. The cubic root of 14034006 is about 241.2092098164.

Adding to 14034006 its reverse (60043041), we get a palindrome (74077047).

The spelling of 14034006 in words is "fourteen million, thirty-four thousand, six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 137 189 271 274 378 411 542 813 822 959 1233 1626 1897 1918 2439 2466 2877 3699 3794 4878 5691 5754 7317 7398 8631 11382 14634 17073 17262 25893 34146 37127 51219 51786 74254 102438 111381 222762 259889 334143 519778 668286 779667 1002429 1559334 2004858 2339001 4678002 7017003 14034006