Search a number
-
+
18826344 = 2334171709
BaseRepresentation
bin100011111010…
…0010001101000
31022102110220000
41013310101220
514304420334
61511303000
7316010205
oct107642150
938373800
1018826344
11a699569
12637aa60
133b92164
142700cac
1519bd299
hex11f4468

18826344 has 80 divisors (see below), whose sum is σ = 55865700. Its totient is φ = 5902848.

The previous prime is 18826333. The next prime is 18826349. The reversal of 18826344 is 44362881.

18826344 is a `hidden beast` number, since 18 + 8 + 2 + 634 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 18818244 + 8100 = 4338^2 + 90^2 .

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 = 18826299 and 18826308.

It is not an unprimeable number, because it can be changed into a prime (18826349) 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, 10162 + ... + 11870.

Almost surely, 218826344 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 18826344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27932850).

18826344 is an abundant number, since it is smaller than the sum of its proper divisors (37039356).

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

18826344 is a wasteful number, since it uses less digits than its factorization.

18826344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1744 (or 1731 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 18826344 is about 4338.9335095159. The cubic root of 18826344 is about 266.0247211652.

The spelling of 18826344 in words is "eighteen million, eight hundred twenty-six thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 102 108 136 153 162 204 216 306 324 408 459 612 648 918 1224 1377 1709 1836 2754 3418 3672 5127 5508 6836 10254 11016 13672 15381 20508 29053 30762 41016 46143 58106 61524 87159 92286 116212 123048 138429 174318 184572 232424 261477 276858 348636 369144 522954 553716 697272 784431 1045908 1107432 1568862 2091816 2353293 3137724 4706586 6275448 9413172 18826344