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342100 = 225211311
BaseRepresentation
bin1010011100001010100
3122101021101
41103201110
541421400
611155444
72623243
oct1234124
9571241
10342100
11214030
12145b84
13bc935
148c95a
156b56a
hex53854

342100 has 36 divisors (see below), whose sum is σ = 812448. Its totient is φ = 124000.

The previous prime is 342077. The next prime is 342101. The reversal of 342100 is 1243.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an Ulam number.

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 945 + ... + 1255.

It is an arithmetic number, because the mean of its divisors is an integer number (22568).

2342100 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 342100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406224).

342100 is an abundant number, since it is smaller than the sum of its proper divisors (470348).

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

342100 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 11 representation: 342100 = (214030)11.

342100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 342100 is about 584.8931526356. The cubic root of 342100 is about 69.9387218829.

Adding to 342100 its reverse (1243), we get a palindrome (343343).

The spelling of 342100 in words is "three hundred forty-two thousand, one hundred", and thus it is an iban number.

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 311 550 622 1100 1244 1555 3110 3421 6220 6842 7775 13684 15550 17105 31100 34210 68420 85525 171050 342100