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18381348 = 2232895737
BaseRepresentation
bin100011000011…
…1101000100100
31021120212110200
41012013220210
514201200343
61453550500
7312144636
oct106075044
937525420
1018381348
11a4151a7
1261a5430
133a6774b
142626a56
1519314d3
hex1187a24

18381348 has 36 divisors (see below), whose sum is σ = 46994220. Its totient is φ = 6057216.

The previous prime is 18381343. The next prime is 18381353. The reversal of 18381348 is 84318381.

It is an interprime number because it is at equal distance from previous prime (18381343) and next prime (18381353).

It can be written as a sum of positive squares in 2 ways, for example, as 1340964 + 17040384 = 1158^2 + 4128^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (18381343) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 336 + ... + 6072.

It is an arithmetic number, because the mean of its divisors is an integer number (1305395).

Almost surely, 218381348 is an apocalyptic number.

18381348 is a gapful number since it is divisible by the number (18) 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 18381348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23497110).

18381348 is an abundant number, since it is smaller than the sum of its proper divisors (28612872).

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

18381348 is a wasteful number, since it uses less digits than its factorization.

18381348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5836 (or 5831 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 18381348 is about 4287.3474316878. The cubic root of 18381348 is about 263.9119885686.

The spelling of 18381348 in words is "eighteen million, three hundred eighty-one thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 89 178 267 356 534 801 1068 1602 3204 5737 11474 17211 22948 34422 51633 68844 103266 206532 510593 1021186 1531779 2042372 3063558 4595337 6127116 9190674 18381348