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18342480 = 2435135879
BaseRepresentation
bin100010111111…
…0001001010000
31021111220011010
41011332021100
514143424410
61453050520
7311623422
oct105761120
937456133
1018342480
11a398a82
126186a40
133a52b50
142616812
151924c20
hex117e250

18342480 has 80 divisors (see below), whose sum is σ = 61246080. Its totient is φ = 4514304.

The previous prime is 18342461. The next prime is 18342481. The reversal of 18342480 is 8424381.

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 (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18342481) 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 15 ways as a sum of consecutive naturals, for example, 181 + ... + 6059.

It is an arithmetic number, because the mean of its divisors is an integer number (765576).

Almost surely, 218342480 is an apocalyptic number.

18342480 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 18342480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30623040).

18342480 is an abundant number, since it is smaller than the sum of its proper divisors (42903600).

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

18342480 is a wasteful number, since it uses less digits than its factorization.

18342480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5908 (or 5902 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 18342480 is about 4282.8121602517. The cubic root of 18342480 is about 263.7258402733.

The spelling of 18342480 in words is "eighteen million, three hundred forty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 5879 11758 17637 23516 29395 35274 47032 58790 70548 76427 88185 94064 117580 141096 152854 176370 229281 235160 282192 305708 352740 382135 458562 470320 611416 705480 764270 917124 1146405 1222832 1410960 1528540 1834248 2292810 3057080 3668496 4585620 6114160 9171240 18342480