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18323640 = 23325232213
BaseRepresentation
bin100010111100…
…1100010111000
31021110221022100
41011321202320
514142324030
61452423400
7311514456
oct105714270
937427270
1018323640
11a385905
126177b60
133a473ba
14260d9d6
15191e360
hex11798b8

18323640 has 96 divisors (see below), whose sum is σ = 62169120. Its totient is φ = 4671744.

The previous prime is 18323623. The next prime is 18323647. The reversal of 18323640 is 4632381.

It is a happy number.

18323640 is a `hidden beast` number, since 18 + 3 + 2 + 3 + 640 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18323647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7174 + ... + 9386.

It is an arithmetic number, because the mean of its divisors is an integer number (647595).

Almost surely, 218323640 is an apocalyptic number.

18323640 is a gapful number since it is divisible by the number (10) 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 18323640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31084560).

18323640 is an abundant number, since it is smaller than the sum of its proper divisors (43845480).

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

18323640 is a wasteful number, since it uses less digits than its factorization.

18323640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2253 (or 2246 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 18323640 is about 4280.6121057624. The cubic root of 18323640 is about 263.6355163018.

The spelling of 18323640 in words is "eighteen million, three hundred twenty-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 30 36 40 45 46 60 69 72 90 92 115 120 138 180 184 207 230 276 345 360 414 460 552 690 828 920 1035 1380 1656 2070 2213 2760 4140 4426 6639 8280 8852 11065 13278 17704 19917 22130 26556 33195 39834 44260 50899 53112 66390 79668 88520 99585 101798 132780 152697 159336 199170 203596 254495 265560 305394 398340 407192 458091 508990 610788 763485 796680 916182 1017980 1221576 1526970 1832364 2035960 2290455 3053940 3664728 4580910 6107880 9161820 18323640