Search a number
-
+
18914304 = 210347131
BaseRepresentation
bin100100000100…
…1110000000000
31022120221112210
41020021300000
514320224204
61513222120
7316524513
oct110116000
938527483
1018914304
11a749662
126401940
133bc31c6
142724d7a
1519d9389
hex1209c00

18914304 has 88 divisors (see below), whose sum is σ = 51879168. Its totient is φ = 6123520.

The previous prime is 18914299. The next prime is 18914327. The reversal of 18914304 is 40341981.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 144319 + ... + 144449.

It is an arithmetic number, because the mean of its divisors is an integer number (589536).

Almost surely, 218914304 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 18914304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25939584).

18914304 is an abundant number, since it is smaller than the sum of its proper divisors (32964864).

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

18914304 is a wasteful number, since it uses less digits than its factorization.

18914304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 18914304 is about 4349.0578290016. The cubic root of 18914304 is about 266.4383824072.

The spelling of 18914304 in words is "eighteen million, nine hundred fourteen thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 128 131 141 188 192 256 262 282 376 384 393 512 524 564 752 768 786 1024 1048 1128 1504 1536 1572 2096 2256 3008 3072 3144 4192 4512 6016 6157 6288 8384 9024 12032 12314 12576 16768 18048 18471 24064 24628 25152 33536 36096 36942 48128 49256 50304 67072 72192 73884 98512 100608 134144 144384 147768 197024 201216 295536 394048 402432 591072 788096 1182144 1576192 2364288 3152384 4728576 6304768 9457152 18914304