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342420 = 223513439
BaseRepresentation
bin1010011100110010100
3122101201020
41103212110
541424140
611201140
72624211
oct1234624
9571636
10342420
112142a1
121461b0
13bcb20
148cb08
156b6d0
hex53994

342420 has 48 divisors (see below), whose sum is σ = 1034880. Its totient is φ = 84096.

The previous prime is 342413. The next prime is 342421. The reversal of 342420 is 24243.

It is a happy number.

342420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 342420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342421) 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, 561 + ... + 999.

It is an arithmetic number, because the mean of its divisors is an integer number (21560).

2342420 is an apocalyptic number.

342420 is a gapful number since it is divisible by the number (30) 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 342420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517440).

342420 is an abundant number, since it is smaller than the sum of its proper divisors (692460).

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

342420 is a wasteful number, since it uses less digits than its factorization.

342420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 342420 is about 585.1666429317. The cubic root of 342420 is about 69.9605219574.

Adding to 342420 its reverse (24243), we get a palindrome (366663).

It can be divided in two parts, 3 and 42420, that multiplied together give a triangular number (127260 = T504).

The spelling of 342420 in words is "three hundred forty-two thousand, four hundred twenty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 439 780 878 1317 1756 2195 2634 4390 5268 5707 6585 8780 11414 13170 17121 22828 26340 28535 34242 57070 68484 85605 114140 171210 342420