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18985344 = 273721009
BaseRepresentation
bin100100001101…
…1000110000000
31022201112222220
41020123012000
514330012334
61514531040
7320241600
oct110330600
938645886
1018985344
11a797a74
126436a80
133c19641
142742c00
151a00449
hex121b180

18985344 has 96 divisors (see below), whose sum is σ = 58721400. Its totient is φ = 5419008.

The previous prime is 18985339. The next prime is 18985367. The reversal of 18985344 is 44358981.

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 (42).

It is a junction number, because it is equal to n+sod(n) for n = 18985296 and 18985305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18312 + ... + 19320.

Almost surely, 218985344 is an apocalyptic number.

18985344 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 18985344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29360700).

18985344 is an abundant number, since it is smaller than the sum of its proper divisors (39736056).

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

18985344 is a wasteful number, since it uses less digits than its factorization.

18985344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1040 (or 1021 counting only the distinct ones).

The product of its digits is 138240, while the sum is 42.

The square root of 18985344 is about 4357.2174607196. The cubic root of 18985344 is about 266.7715365310.

The spelling of 18985344 in words is "eighteen million, nine hundred eighty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 294 336 384 392 448 588 672 784 896 1009 1176 1344 1568 2018 2352 2688 3027 3136 4036 4704 6054 6272 7063 8072 9408 12108 14126 16144 18816 21189 24216 28252 32288 42378 48432 49441 56504 64576 84756 96864 98882 113008 129152 148323 169512 193728 197764 226016 296646 339024 387456 395528 452032 593292 678048 791056 904064 1186584 1356096 1582112 2373168 2712192 3164224 4746336 6328448 9492672 18985344