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18316944 = 2432131971
BaseRepresentation
bin100010111011…
…1111010010000
31021110121010100
41011313322100
514142120234
61452332400
7311456112
oct105677220
937417110
1018316944
11a380878
126174100
133a44339
14260b3b2
15191c399
hex1177e90

18316944 has 60 divisors (see below), whose sum is σ = 51706512. Its totient is φ = 6052800.

The previous prime is 18316927. The next prime is 18316957. The reversal of 18316944 is 44961381.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 18316899 and 18316908.

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 11 ways as a sum of consecutive naturals, for example, 18379 + ... + 19349.

Almost surely, 218316944 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 18316944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25853256).

18316944 is an abundant number, since it is smaller than the sum of its proper divisors (33389568).

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

18316944 is a wasteful number, since it uses less digits than its factorization.

18316944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116 (or 1107 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 18316944 is about 4279.8299031620. The cubic root of 18316944 is about 263.6033989843.

The spelling of 18316944 in words is "eighteen million, three hundred sixteen thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 131 144 262 393 524 786 971 1048 1179 1572 1942 2096 2358 2913 3144 3884 4716 5826 6288 7768 8739 9432 11652 15536 17478 18864 23304 34956 46608 69912 127201 139824 254402 381603 508804 763206 1017608 1144809 1526412 2035216 2289618 3052824 4579236 6105648 9158472 18316944