Search a number
-
+
18293364 = 2234131431
BaseRepresentation
bin100010111001…
…0001001110100
31021102101210000
41011302021310
514140341424
61452031300
7311330265
oct105621164
937371700
1018293364
11a365091
126162530
133a3669b
14260296c
1519153c9
hex1172274

18293364 has 60 divisors (see below), whose sum is σ = 48299328. Its totient is φ = 6037200.

The previous prime is 18293329. The next prime is 18293369. The reversal of 18293364 is 46339281.

18293364 is a `hidden beast` number, since 1 + 8 + 293 + 364 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18293369) 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 19 ways as a sum of consecutive naturals, for example, 42229 + ... + 42659.

Almost surely, 218293364 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 18293364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24149664).

18293364 is an abundant number, since it is smaller than the sum of its proper divisors (30005964).

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

18293364 is a wasteful number, since it uses less digits than its factorization.

18293364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 567 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 18293364 is about 4277.0742336321. The cubic root of 18293364 is about 263.4902353235.

The spelling of 18293364 in words is "eighteen million, two hundred ninety-three thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 131 162 262 324 393 431 524 786 862 1179 1293 1572 1724 2358 2586 3537 3879 4716 5172 7074 7758 10611 11637 14148 15516 21222 23274 34911 42444 46548 56461 69822 112922 139644 169383 225844 338766 508149 677532 1016298 1524447 2032596 3048894 4573341 6097788 9146682 18293364