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14339424 = 2531137367
BaseRepresentation
bin110110101100…
…110101100000
3222222111222210
4312230311200
512132330144
61231202120
7232611621
oct66546540
928874883
1014339424
118104470
124976340
132c80a88
141c93a48
1513d3ab9
hexdacd60

14339424 has 96 divisors (see below), whose sum is σ = 42287616. Its totient is φ = 4216320.

The previous prime is 14339417. The next prime is 14339431. The reversal of 14339424 is 42493341.

14339424 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14339417) and next prime (14339431).

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

It is a junction number, because it is equal to n+sod(n) for n = 14339391 and 14339400.

It is a congruent number.

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, 38889 + ... + 39255.

It is an arithmetic number, because the mean of its divisors is an integer number (440496).

Almost surely, 214339424 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 14339424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21143808).

14339424 is an abundant number, since it is smaller than the sum of its proper divisors (27948192).

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

14339424 is a wasteful number, since it uses less digits than its factorization.

14339424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 420 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The square root of 14339424 is about 3786.7431917150. The cubic root of 14339424 is about 242.9464563903.

The spelling of 14339424 in words is "fourteen million, three hundred thirty-nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 37 44 48 66 74 88 96 111 132 148 176 222 264 296 352 367 407 444 528 592 734 814 888 1056 1101 1184 1221 1468 1628 1776 2202 2442 2936 3256 3552 4037 4404 4884 5872 6512 8074 8808 9768 11744 12111 13024 13579 16148 17616 19536 24222 27158 32296 35232 39072 40737 48444 54316 64592 81474 96888 108632 129184 149369 162948 193776 217264 298738 325896 387552 434528 448107 597476 651792 896214 1194952 1303584 1792428 2389904 3584856 4779808 7169712 14339424