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18344385 = 3252914057
BaseRepresentation
bin100010111111…
…0100111000001
31021111222202200
41011332213001
514144010020
61453103413
7311632113
oct105764701
937458680
1018344385
11a39a454
126187b69
133a53987
1426173b3
151925590
hex117e9c1

18344385 has 24 divisors (see below), whose sum is σ = 32895720. Its totient is φ = 9445632.

The previous prime is 18344383. The next prime is 18344387. The reversal of 18344385 is 58344381.

It is an interprime number because it is at equal distance from previous prime (18344383) and next prime (18344387).

It can be written as a sum of positive squares in 4 ways, for example, as 17424 + 18326961 = 132^2 + 4281^2 .

It is not a de Polignac number, because 18344385 - 21 = 18344383 is a prime.

It is a super-2 number, since 2×183443852 = 673032922056450, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (18344383) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 5724 + ... + 8333.

It is an arithmetic number, because the mean of its divisors is an integer number (1370655).

Almost surely, 218344385 is an apocalyptic number.

18344385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

18344385 is a deficient number, since it is larger than the sum of its proper divisors (14551335).

18344385 is a wasteful number, since it uses less digits than its factorization.

18344385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14097 (or 14094 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 18344385 is about 4283.0345550789. The cubic root of 18344385 is about 263.7349699064.

The spelling of 18344385 in words is "eighteen million, three hundred forty-four thousand, three hundred eighty-five".

Divisors: 1 3 5 9 15 29 45 87 145 261 435 1305 14057 42171 70285 126513 210855 407653 632565 1222959 2038265 3668877 6114795 18344385