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18994304 = 277172943
BaseRepresentation
bin100100001110…
…1010010000000
31022202000021202
41020131102000
514330304204
61515040332
7320306660
oct110352200
938660252
1018994304
11a7a377a
1264400a8
133c20744
1427461a0
151a02e1e
hex121d480

18994304 has 128 divisors (see below), whose sum is σ = 48470400. Its totient is φ = 7225344.

The previous prime is 18994303. The next prime is 18994307. The reversal of 18994304 is 40349981.

18994304 = T131 + T132 + ... + T487.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (18994303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 441707 + ... + 441749.

It is an arithmetic number, because the mean of its divisors is an integer number (378675).

Almost surely, 218994304 is an apocalyptic number.

18994304 is a gapful number since it is divisible by the number (14) 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 18994304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24235200).

18994304 is an abundant number, since it is smaller than the sum of its proper divisors (29476096).

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

18994304 is a wasteful number, since it uses less digits than its factorization.

18994304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 38.

The square root of 18994304 is about 4358.2455185545. The cubic root of 18994304 is about 266.8134969162.

The spelling of 18994304 in words is "eighteen million, nine hundred ninety-four thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 17 28 29 32 34 43 56 58 64 68 86 112 116 119 128 136 172 203 224 232 238 272 301 344 406 448 464 476 493 544 602 688 731 812 896 928 952 986 1088 1204 1247 1376 1462 1624 1856 1904 1972 2176 2408 2494 2752 2924 3248 3451 3712 3808 3944 4816 4988 5117 5504 5848 6496 6902 7616 7888 8729 9632 9976 10234 11696 12992 13804 15232 15776 17458 19264 19952 20468 21199 23392 25984 27608 31552 34916 38528 39904 40936 42398 46784 55216 63104 69832 79808 81872 84796 93568 110432 139664 148393 159616 163744 169592 220864 279328 296786 327488 339184 441728 558656 593572 654976 678368 1117312 1187144 1356736 2374288 2713472 4748576 9497152 18994304