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18343120 = 245376197
BaseRepresentation
bin100010111111…
…0010011010000
31021111221000211
41011332103100
514143434440
61453053504
7311625325
oct105762320
937457024
1018343120
11a399504
126187294
133a53223
142616b4c
151924eea
hex117e4d0

18343120 has 40 divisors (see below), whose sum is σ = 43807464. Its totient is φ = 7137792.

The previous prime is 18343111. The next prime is 18343123. The reversal of 18343120 is 2134381.

It can be written as a sum of positive squares in 4 ways, for example, as 4145296 + 14197824 = 2036^2 + 3768^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 18343091 and 18343100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18343123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 139 + ... + 6058.

Almost surely, 218343120 is an apocalyptic number.

18343120 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 18343120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21903732).

18343120 is an abundant number, since it is smaller than the sum of its proper divisors (25464344).

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

18343120 is a wasteful number, since it uses less digits than its factorization.

18343120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6247 (or 6241 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 18343120 is about 4282.8868768624. The cubic root of 18343120 is about 263.7289075171.

The spelling of 18343120 in words is "eighteen million, three hundred forty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1480 2960 6197 12394 24788 30985 49576 61970 99152 123940 229289 247880 458578 495760 917156 1146445 1834312 2292890 3668624 4585780 9171560 18343120