Search a number
-
+
14040312 = 23311134091
BaseRepresentation
bin110101100011…
…110011111000
3222102022200120
4311203303320
512043242222
61220533240
7230224566
oct65436370
928368616
1014040312
117a1a770
124851220
132ba78a0
141c16a36
15137515c
hexd63cf8

14040312 has 64 divisors (see below), whose sum is σ = 41247360. Its totient is φ = 3926400.

The previous prime is 14040311. The next prime is 14040343. The reversal of 14040312 is 21304041.

It is a super-2 number, since 2×140403122 = 394260722114688, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14040291 and 14040300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14040311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1387 + ... + 5477.

It is an arithmetic number, because the mean of its divisors is an integer number (644490).

Almost surely, 214040312 is an apocalyptic number.

14040312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14040312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20623680).

14040312 is an abundant number, since it is smaller than the sum of its proper divisors (27207048).

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

14040312 is a wasteful number, since it uses less digits than its factorization.

14040312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4124 (or 4120 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 14040312 is about 3747.0404321277. The cubic root of 14040312 is about 241.2453324913.

Adding to 14040312 its reverse (21304041), we get a palindrome (35344353).

The spelling of 14040312 in words is "fourteen million, forty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 132 143 156 264 286 312 429 572 858 1144 1716 3432 4091 8182 12273 16364 24546 32728 45001 49092 53183 90002 98184 106366 135003 159549 180004 212732 270006 319098 360008 425464 540012 585013 638196 1080024 1170026 1276392 1755039 2340052 3510078 4680104 7020156 14040312