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342450 = 23252761
BaseRepresentation
bin1010011100110110010
3122101202100
41103212302
541424300
611201230
72624253
oct1234662
9571670
10342450
11214319
12146216
13bcb44
148cb2a
156b700
hex539b2

342450 has 36 divisors (see below), whose sum is σ = 921258. Its totient is φ = 91200.

The previous prime is 342449. The next prime is 342451. The reversal of 342450 is 54243.

It is a happy number.

342450 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (342449) and next prime (342451).

It can be written as a sum of positive squares in 3 ways, for example, as 131769 + 210681 = 363^2 + 459^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (342451) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 70 + ... + 830.

2342450 is an apocalyptic number.

342450 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 342450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460629).

342450 is an abundant number, since it is smaller than the sum of its proper divisors (578808).

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

342450 is a wasteful number, since it uses less digits than its factorization.

342450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 342450 is about 585.1922760939. The cubic root of 342450 is about 69.9625650179.

Adding to 342450 its reverse (54243), we get a palindrome (396693).

The spelling of 342450 in words is "three hundred forty-two thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 761 1522 2283 3805 4566 6849 7610 11415 13698 19025 22830 34245 38050 57075 68490 114150 171225 342450