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14334912 = 263241607
BaseRepresentation
bin110110101011…
…101111000000
3222222021210200
4312223233000
512132204122
61231125200
7232562514
oct66535700
928867720
1014334912
118101039
124973800
132c7b9c7
141c92144
1513d25ac
hexdabbc0

14334912 has 84 divisors (see below), whose sum is σ = 42159936. Its totient is φ = 4654080.

The previous prime is 14334889. The next prime is 14334973. The reversal of 14334912 is 21943341.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23313 + ... + 23919.

It is an arithmetic number, because the mean of its divisors is an integer number (501904).

Almost surely, 214334912 is an apocalyptic number.

14334912 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 14334912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21079968).

14334912 is an abundant number, since it is smaller than the sum of its proper divisors (27825024).

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

14334912 is a wasteful number, since it uses less digits than its factorization.

14334912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 653 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 14334912 is about 3786.1473822343. The cubic root of 14334912 is about 242.9209721169.

The spelling of 14334912 in words is "fourteen million, three hundred thirty-four thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 64 72 82 96 123 144 164 192 246 288 328 369 492 576 607 656 738 984 1214 1312 1476 1821 1968 2428 2624 2952 3642 3936 4856 5463 5904 7284 7872 9712 10926 11808 14568 19424 21852 23616 24887 29136 38848 43704 49774 58272 74661 87408 99548 116544 149322 174816 199096 223983 298644 349632 398192 447966 597288 796384 895932 1194576 1592768 1791864 2389152 3583728 4778304 7167456 14334912