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14334816 = 2531929271
BaseRepresentation
bin110110101011…
…101101100000
3222222021200010
4312223231200
512132203231
61231124520
7232562316
oct66535540
928867603
1014334816
118100a61
124973740
132c7b952
141c920b6
1513d2546
hexdabb60

14334816 has 96 divisors (see below), whose sum is σ = 41126400. Its totient is φ = 4354560.

The previous prime is 14334811. The next prime is 14334821. The reversal of 14334816 is 61843341.

It is an interprime number because it is at equal distance from previous prime (14334811) and next prime (14334821).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14334811) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 52761 + ... + 53031.

It is an arithmetic number, because the mean of its divisors is an integer number (428400).

Almost surely, 214334816 is an apocalyptic number.

14334816 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 14334816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20563200).

14334816 is an abundant number, since it is smaller than the sum of its proper divisors (26791584).

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

14334816 is a wasteful number, since it uses less digits than its factorization.

14334816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 324 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 14334816 is about 3786.1347044182. The cubic root of 14334816 is about 242.9204298402.

The spelling of 14334816 in words is "fourteen million, three hundred thirty-four thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 24 29 32 38 48 57 58 76 87 96 114 116 152 174 228 232 271 304 348 456 464 542 551 608 696 813 912 928 1084 1102 1392 1626 1653 1824 2168 2204 2784 3252 3306 4336 4408 5149 6504 6612 7859 8672 8816 10298 13008 13224 15447 15718 17632 20596 23577 26016 26448 30894 31436 41192 47154 52896 61788 62872 82384 94308 123576 125744 149321 164768 188616 247152 251488 298642 377232 447963 494304 597284 754464 895926 1194568 1791852 2389136 3583704 4778272 7167408 14334816