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18034000 = 245371127
BaseRepresentation
bin100010011001…
…0110101010000
31020221012222221
41010302311100
514104042000
61442310424
7306200155
oct104626520
936835887
1018034000
11a1a8236
126058414
13397560a
14257622c
1518b361a
hex1132d50

18034000 has 80 divisors (see below), whose sum is σ = 44568576. Its totient is φ = 7056000.

The previous prime is 18033943. The next prime is 18034007. The reversal of 18034000 is 43081.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18034007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141937 + ... + 142063.

Almost surely, 218034000 is an apocalyptic number.

18034000 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 18034000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22284288).

18034000 is an abundant number, since it is smaller than the sum of its proper divisors (26534576).

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

18034000 is a wasteful number, since it uses less digits than its factorization.

18034000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 18034000 is about 4246.6457351656. The cubic root of 18034000 is about 262.2390452782.

Adding to 18034000 its reverse (43081), we get a palindrome (18077081).

The spelling of 18034000 in words is "eighteen million, thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 71 80 100 125 127 142 200 250 254 284 355 400 500 508 568 635 710 1000 1016 1136 1270 1420 1775 2000 2032 2540 2840 3175 3550 5080 5680 6350 7100 8875 9017 10160 12700 14200 15875 17750 18034 25400 28400 31750 35500 36068 45085 50800 63500 71000 72136 90170 127000 142000 144272 180340 225425 254000 360680 450850 721360 901700 1127125 1803400 2254250 3606800 4508500 9017000 18034000