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342320 = 24511389
BaseRepresentation
bin1010011100100110000
3122101120112
41103210300
541423240
611200452
72624006
oct1234460
9571515
10342320
11214210
12146128
13bca74
148ca76
156b665
hex53930

342320 has 40 divisors (see below), whose sum is σ = 870480. Its totient is φ = 124160.

The previous prime is 342319. The next prime is 342337. The reversal of 342320 is 23243.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 342295 and 342304.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 686 + ... + 1074.

It is an arithmetic number, because the mean of its divisors is an integer number (21762).

2342320 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 342320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435240).

342320 is an abundant number, since it is smaller than the sum of its proper divisors (528160).

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

342320 is a wasteful number, since it uses less digits than its factorization.

342320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 342320 is about 585.0811909470. The cubic root of 342320 is about 69.9537108936.

Adding to 342320 its reverse (23243), we get a palindrome (365563).

It can be divided in two parts, 3423 and 20, that added together give a palindrome (3443).

The spelling of 342320 in words is "three hundred forty-two thousand, three hundred twenty", and thus it is an iban number.

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 389 440 778 880 1556 1945 3112 3890 4279 6224 7780 8558 15560 17116 21395 31120 34232 42790 68464 85580 171160 342320