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18330816 = 263723593
BaseRepresentation
bin100010111101…
…1010011000000
31021111022011010
41011323103000
514143041231
61452520520
7311544420
oct105732300
937438133
1018330816
11a390239
126180140
133a4a74a
142612480
151921546
hex117b4c0

18330816 has 112 divisors (see below), whose sum is σ = 57936384. Its totient is φ = 5001216.

The previous prime is 18330803. The next prime is 18330859. The reversal of 18330816 is 61803381.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30616 + ... + 31208.

Almost surely, 218330816 is an apocalyptic number.

18330816 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 18330816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28968192).

18330816 is an abundant number, since it is smaller than the sum of its proper divisors (39605568).

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

18330816 is a wasteful number, since it uses less digits than its factorization.

18330816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 628 counting only the distinct ones).

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

The square root of 18330816 is about 4281.4502215955. The cubic root of 18330816 is about 263.6699272513.

The spelling of 18330816 in words is "eighteen million, three hundred thirty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 64 69 84 92 96 112 138 161 168 184 192 224 276 322 336 368 448 483 552 593 644 672 736 966 1104 1186 1288 1344 1472 1779 1932 2208 2372 2576 3558 3864 4151 4416 4744 5152 7116 7728 8302 9488 10304 12453 13639 14232 15456 16604 18976 24906 27278 28464 30912 33208 37952 40917 49812 54556 56928 66416 81834 95473 99624 109112 113856 132832 163668 190946 199248 218224 265664 286419 327336 381892 398496 436448 572838 654672 763784 796992 872896 1145676 1309344 1527568 2291352 2618688 3055136 4582704 6110272 9165408 18330816