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18354033 = 36171481
BaseRepresentation
bin100011000000…
…0111101110001
31021112111000000
41012000331301
514144312113
61453220213
7312002205
oct106007561
937474000
1018354033
11a3a6725
126191669
133a58199
14261ab05
151928373
hex1180f71

18354033 has 28 divisors (see below), whose sum is σ = 29156868. Its totient is φ = 11508480.

The previous prime is 18354029. The next prime is 18354043. The reversal of 18354033 is 33045381.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 11209104 + 7144929 = 3348^2 + 2673^2 .

It is not a de Polignac number, because 18354033 - 22 = 18354029 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 18353988 and 18354006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18354043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 11653 + ... + 13133.

Almost surely, 218354033 is an apocalyptic number.

It is an amenable number.

18354033 is a deficient number, since it is larger than the sum of its proper divisors (10802835).

18354033 is an equidigital number, since it uses as much as digits as its factorization.

18354033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1516 (or 1501 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 18354033 is about 4284.1607112712. The cubic root of 18354033 is about 263.7811978400.

The spelling of 18354033 in words is "eighteen million, three hundred fifty-four thousand, thirty-three".

Divisors: 1 3 9 17 27 51 81 153 243 459 729 1377 1481 4131 4443 12393 13329 25177 39987 75531 119961 226593 359883 679779 1079649 2039337 6118011 18354033