Search a number
-
+
14416332 = 2237732351
BaseRepresentation
bin110110111111…
…100111001100
31000010102111020
4312333213030
512142310312
61232554140
7233352060
oct66774714
930112436
1014416332
118157227
1249b2950
132ca9a98
141cb3aa0
1513eb78c
hexdbf9cc

14416332 has 48 divisors (see below), whose sum is σ = 38986752. Its totient is φ = 4060800.

The previous prime is 14416327. The next prime is 14416349. The reversal of 14416332 is 23361441.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4957 + ... + 7307.

It is an arithmetic number, because the mean of its divisors is an integer number (812224).

Almost surely, 214416332 is an apocalyptic number.

14416332 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 14416332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19493376).

14416332 is an abundant number, since it is smaller than the sum of its proper divisors (24570420).

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

14416332 is a wasteful number, since it uses less digits than its factorization.

14416332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2438 (or 2436 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 14416332 is about 3796.8845123338. The cubic root of 14416332 is about 243.3800214828.

Adding to 14416332 its reverse (23361441), we get a palindrome (37777773).

The spelling of 14416332 in words is "fourteen million, four hundred sixteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 73 84 146 219 292 438 511 876 1022 1533 2044 2351 3066 4702 6132 7053 9404 14106 16457 28212 32914 49371 65828 98742 171623 197484 343246 514869 686492 1029738 1201361 2059476 2402722 3604083 4805444 7208166 14416332