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14331296 = 257137467
BaseRepresentation
bin110110101010…
…110110100000
3222222002211202
4312222312200
512132100141
61231100332
7232546130
oct66526640
928862752
1014331296
1180a9351
1249716a8
132c7a175
141c90ac0
1513d149b
hexdaada0

14331296 has 48 divisors (see below), whose sum is σ = 32550336. Its totient is φ = 6084096.

The previous prime is 14331271. The next prime is 14331299. The reversal of 14331296 is 69213341.

14331296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (14331299) 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, 30455 + ... + 30921.

It is an arithmetic number, because the mean of its divisors is an integer number (678132).

Almost surely, 214331296 is an apocalyptic number.

14331296 is a gapful number since it is divisible by the number (16) 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 14331296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16275168).

14331296 is an abundant number, since it is smaller than the sum of its proper divisors (18219040).

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

14331296 is a wasteful number, since it uses less digits than its factorization.

14331296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 613 counting only the distinct ones).

The product of its digits is 3888, while the sum is 29.

The square root of 14331296 is about 3785.6698218413. The cubic root of 14331296 is about 242.9005446899.

The spelling of 14331296 in words is "fourteen million, three hundred thirty-one thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 137 224 274 467 548 934 959 1096 1868 1918 2192 3269 3736 3836 4384 6538 7472 7672 13076 14944 15344 26152 30688 52304 63979 104608 127958 255916 447853 511832 895706 1023664 1791412 2047328 3582824 7165648 14331296