Search a number
-
+
14241432 = 233412353
BaseRepresentation
bin110110010100…
…111010011000
3222210112120110
4312110322120
512121211212
61225124320
7232023132
oct66247230
928715513
1014241432
118047887
1249296a0
132c482aa
141c6a052
1513b4a3c
hexd94e98

14241432 has 48 divisors (see below), whose sum is σ = 36596520. Its totient is φ = 4618240.

The previous prime is 14241421. The next prime is 14241467. The reversal of 14241432 is 23414241.

14241432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 14241399 and 14241408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40168 + ... + 40520.

Almost surely, 214241432 is an apocalyptic number.

14241432 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 14241432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18298260).

14241432 is an abundant number, since it is smaller than the sum of its proper divisors (22355088).

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

14241432 is a wasteful number, since it uses less digits than its factorization.

14241432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 399 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 14241432 is about 3773.7821876733. The cubic root of 14241432 is about 242.3917793942.

Adding to 14241432 its reverse (23414241), we get a palindrome (37655673).

The spelling of 14241432 in words is "fourteen million, two hundred forty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 246 328 353 492 706 984 1059 1412 1681 2118 2824 3362 4236 5043 6724 8472 10086 13448 14473 20172 28946 40344 43419 57892 86838 115784 173676 347352 593393 1186786 1780179 2373572 3560358 4747144 7120716 14241432