Search a number
-
+
14234240 = 27523967
BaseRepresentation
bin110110010011…
…001010000000
3222210011201002
4312103022000
512120443430
61225031132
7231663146
oct66231200
928704632
1014234240
118042439
1249254a8
132c44c37
141c67596
1513b2845
hexd93280

14234240 has 64 divisors (see below), whose sum is σ = 35544960. Its totient is φ = 5440512.

The previous prime is 14234237. The next prime is 14234243. The reversal of 14234240 is 4243241.

It is an interprime number because it is at equal distance from previous prime (14234237) and next prime (14234243).

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×142342402 = 405227176755200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (14234243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14237 + ... + 15203.

It is an arithmetic number, because the mean of its divisors is an integer number (555390).

Almost surely, 214234240 is an apocalyptic number.

14234240 is a gapful number since it is divisible by the number (10) 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 14234240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17772480).

14234240 is an abundant number, since it is smaller than the sum of its proper divisors (21310720).

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

14234240 is an equidigital number, since it uses as much as digits as its factorization.

14234240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 14234240 is about 3772.8291771561. The cubic root of 14234240 is about 242.3509694716.

Adding to 14234240 its reverse (4243241), we get a palindrome (18477481).

Subtracting from 14234240 its reverse (4243241), we obtain a palindrome (9990999).

The spelling of 14234240 in words is "fourteen million, two hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 160 184 230 320 368 460 640 736 920 967 1472 1840 1934 2944 3680 3868 4835 7360 7736 9670 14720 15472 19340 22241 30944 38680 44482 61888 77360 88964 111205 123776 154720 177928 222410 309440 355856 444820 618880 711712 889640 1423424 1779280 2846848 3558560 7117120 14234240