Search a number
-
+
342300 = 223527163
BaseRepresentation
bin1010011100100011100
3122101112210
41103210130
541423200
611200420
72623650
oct1234434
9571483
10342300
112141a2
12146110
13bca5a
148ca60
156b650
hex5391c

342300 has 72 divisors (see below), whose sum is σ = 1138816. Its totient is φ = 77760.

The previous prime is 342299. The next prime is 342319. The reversal of 342300 is 3243.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2019 + ... + 2181.

2342300 is an apocalyptic number.

342300 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 342300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569408).

342300 is an abundant number, since it is smaller than the sum of its proper divisors (796516).

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

342300 is a wasteful number, since it uses less digits than its factorization.

342300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 180 counting only the distinct ones).

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

The square root of 342300 is about 585.0640990524. The cubic root of 342300 is about 69.9523485217.

Adding to 342300 its reverse (3243), we get a palindrome (345543).

The spelling of 342300 in words is "three hundred forty-two thousand, three hundred", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 163 175 210 300 326 350 420 489 525 652 700 815 978 1050 1141 1630 1956 2100 2282 2445 3260 3423 4075 4564 4890 5705 6846 8150 9780 11410 12225 13692 16300 17115 22820 24450 28525 34230 48900 57050 68460 85575 114100 171150 342300