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42330 = 2351783
BaseRepresentation
bin1010010101011010
32011001210
422111122
52323310
6523550
7234261
oct122532
964053
1042330
1129892
12205b6
1316362
14115d8
15c820
hexa55a

42330 has 32 divisors (see below), whose sum is σ = 108864. Its totient is φ = 10496.

The previous prime is 42323. The next prime is 42331. The reversal of 42330 is 3324.

42330 = 902 + 912 + ... + 942.

42330 is nontrivially palindromic in base 4, base 11 and base 16.

42330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 15.

It is a zygodrome in base 4.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 42330.

It is not an unprimeable number, because it can be changed into a prime (42331) 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, 469 + ... + 551.

It is an arithmetic number, because the mean of its divisors is an integer number (3402).

242330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54432).

42330 is an abundant number, since it is smaller than the sum of its proper divisors (66534).

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

42330 is a wasteful number, since it uses less digits than its factorization.

42330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110.

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 42330 is about 205.7425575811. The cubic root of 42330 is about 34.8510678424.

Adding to 42330 its reverse (3324), we get a palindrome (45654).

The spelling of 42330 in words is "forty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 83 85 102 166 170 249 255 415 498 510 830 1245 1411 2490 2822 4233 7055 8466 14110 21165 42330