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18306864 = 2433311367
BaseRepresentation
bin100010111010…
…1011100110000
31021110002022000
41011311130300
514141304424
61452214000
7311414532
oct105653460
937402260
1018306864
11a374244
12616a300
133a3c884
142607852
1519193c9
hex1175730

18306864 has 80 divisors (see below), whose sum is σ = 54282240. Its totient is φ = 5901120.

The previous prime is 18306839. The next prime is 18306887. The reversal of 18306864 is 46860381.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 12709 + ... + 14075.

It is an arithmetic number, because the mean of its divisors is an integer number (678528).

Almost surely, 218306864 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 18306864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27141120).

18306864 is an abundant number, since it is smaller than the sum of its proper divisors (35975376).

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

18306864 is a wasteful number, since it uses less digits than its factorization.

18306864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1415 (or 1403 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 18306864 is about 4278.6521242092. The cubic root of 18306864 is about 263.5550355705. Note that the first 3 decimals are identical.

The spelling of 18306864 in words is "eighteen million, three hundred six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 93 108 124 144 186 216 248 279 372 432 496 558 744 837 1116 1367 1488 1674 2232 2734 3348 4101 4464 5468 6696 8202 10936 12303 13392 16404 21872 24606 32808 36909 42377 49212 65616 73818 84754 98424 127131 147636 169508 196848 254262 295272 339016 381393 508524 590544 678032 762786 1017048 1144179 1525572 2034096 2288358 3051144 4576716 6102288 9153432 18306864