[go: up one dir, main page]

Search a number
-
+
14324064 = 2531767131
BaseRepresentation
bin110110101001…
…000101100000
3222221201220220
4312221011200
512131332224
61231003040
7232516056
oct66510540
928851826
1014324064
1180a3977
124969480
132c76aa1
141c8c1d6
1513ce279
hexda9160

14324064 has 96 divisors (see below), whose sum is σ = 40715136. Its totient is φ = 4392960.

The previous prime is 14324059. The next prime is 14324071. The reversal of 14324064 is 46042341.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 109279 + ... + 109409.

It is an arithmetic number, because the mean of its divisors is an integer number (424116).

Almost surely, 214324064 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 14324064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20357568).

14324064 is an abundant number, since it is smaller than the sum of its proper divisors (26391072).

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

14324064 is a wasteful number, since it uses less digits than its factorization.

14324064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 14324064 is about 3784.7145202776. The cubic root of 14324064 is about 242.8596795253.

The spelling of 14324064 in words is "fourteen million, three hundred twenty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 67 68 96 102 131 134 136 201 204 262 268 272 393 402 408 524 536 544 786 804 816 1048 1072 1139 1572 1608 1632 2096 2144 2227 2278 3144 3216 3417 4192 4454 4556 6288 6432 6681 6834 8777 8908 9112 12576 13362 13668 17554 17816 18224 26331 26724 27336 35108 35632 36448 52662 53448 54672 70216 71264 105324 106896 109344 140432 149209 210648 213792 280864 298418 421296 447627 596836 842592 895254 1193672 1790508 2387344 3581016 4774688 7162032 14324064