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18182034 = 23213243139
BaseRepresentation
bin100010101011…
…0111110010010
31021012202001200
41011112332102
514123311114
61445412030
7310354563
oct105267622
937182050
1018182034
11a299482
12610a016
1339c7b00
1425b416a
1518e2409
hex1156f92

18182034 has 72 divisors (see below), whose sum is σ = 43963920. Its totient is φ = 5425056.

The previous prime is 18182011. The next prime is 18182041. The reversal of 18182034 is 43028181.

18182034 is nontrivially palindromic in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 18181989 and 18182007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 130737 + ... + 130875.

It is an arithmetic number, because the mean of its divisors is an integer number (610610).

Almost surely, 218182034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18182034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21981960).

18182034 is an abundant number, since it is smaller than the sum of its proper divisors (25781886).

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

18182034 is a wasteful number, since it uses less digits than its factorization.

18182034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 18182034 is about 4264.0396339621. The cubic root of 18182034 is about 262.9546298485.

It can be divided in two parts, 181 and 82034, that added together give a triangular number (82215 = T405).

The spelling of 18182034 in words is "eighteen million, one hundred eighty-two thousand, thirty-four".

Divisors: 1 2 3 6 9 13 18 26 39 43 78 86 117 129 139 169 234 258 278 338 387 417 507 559 774 834 1014 1118 1251 1521 1677 1807 2502 3042 3354 3614 5031 5421 5977 7267 10062 10842 11954 14534 16263 17931 21801 23491 32526 35862 43602 46982 53793 65403 70473 77701 107586 130806 140946 155402 211419 233103 422838 466206 699309 1010113 1398618 2020226 3030339 6060678 9091017 18182034