Search a number
-
+
14307328 = 2127499
BaseRepresentation
bin110110100101…
…000000000000
3222220212222001
4312211000000
512130313303
61230353344
7232416220
oct66450000
928825861
1014307328
118092342
12495b854
132c6c299
141c86080
1513c931d
hexda5000

14307328 has 52 divisors (see below), whose sum is σ = 32764000. Its totient is φ = 6119424.

The previous prime is 14307313. The next prime is 14307329. The reversal of 14307328 is 82370341.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 14307296 and 14307305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14307329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 28423 + ... + 28921.

Almost surely, 214307328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14307328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16382000).

14307328 is an abundant number, since it is smaller than the sum of its proper divisors (18456672).

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

14307328 is an frugal number, since it uses more digits than its factorization.

14307328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 14307328 is about 3782.5028750815. The cubic root of 14307328 is about 242.7650582505.

Adding to 14307328 its reverse (82370341), we get a palindrome (96677669).

The spelling of 14307328 in words is "fourteen million, three hundred seven thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 499 512 896 998 1024 1792 1996 2048 3493 3584 3992 4096 6986 7168 7984 13972 14336 15968 27944 28672 31936 55888 63872 111776 127744 223552 255488 447104 510976 894208 1021952 1788416 2043904 3576832 7153664 14307328