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42340 = 2252973
BaseRepresentation
bin1010010101100100
32011002011
422111210
52323330
6524004
7234304
oct122544
964064
1042340
11298a1
1220604
131636c
1411604
15c82a
hexa564

42340 has 24 divisors (see below), whose sum is σ = 93240. Its totient is φ = 16128.

The previous prime is 42337. The next prime is 42349. The reversal of 42340 is 4324.

It can be written as a sum of positive squares in 4 ways, for example, as 5476 + 36864 = 74^2 + 192^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 42340.

It is not an unprimeable number, because it can be changed into a prime (42349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 544 + ... + 616.

It is an arithmetic number, because the mean of its divisors is an integer number (3885).

242340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46620).

42340 is an abundant number, since it is smaller than the sum of its proper divisors (50900).

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

42340 is a wasteful number, since it uses less digits than its factorization.

42340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 42340 is about 205.7668583616. The cubic root of 42340 is about 34.8538120210.

Adding to 42340 its product of nonzero digits (96), we get a square (42436 = 2062).

Adding to 42340 its reverse (4324), we get a palindrome (46664).

The spelling of 42340 in words is "forty-two thousand, three hundred forty", and thus it is an iban number.

Divisors: 1 2 4 5 10 20 29 58 73 116 145 146 290 292 365 580 730 1460 2117 4234 8468 10585 21170 42340