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14038434 = 234193449
BaseRepresentation
bin110101100011…
…010110100010
3222102020010000
4311203112202
512043212214
61220520430
7230216244
oct65432642
928366100
1014038434
117a19313
124850116
132ba6a87
141c16094
151374809
hexd635a2

14038434 has 40 divisors (see below), whose sum is σ = 31689900. Its totient is φ = 4644864.

The previous prime is 14038403. The next prime is 14038459. The reversal of 14038434 is 43483041.

14038434 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 13950225 + 88209 = 3735^2 + 297^2 .

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 14038398 and 14038407.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 31042 + ... + 31490.

Almost surely, 214038434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14038434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15844950).

14038434 is an abundant number, since it is smaller than the sum of its proper divisors (17651466).

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

14038434 is a wasteful number, since it uses less digits than its factorization.

14038434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 14038434 is about 3746.7898259710. The cubic root of 14038434 is about 241.2345758705.

The spelling of 14038434 in words is "fourteen million, thirty-eight thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 193 386 449 579 898 1158 1347 1737 2694 3474 4041 5211 8082 10422 12123 15633 24246 31266 36369 72738 86657 173314 259971 519942 779913 1559826 2339739 4679478 7019217 14038434