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342160 = 24571347
BaseRepresentation
bin1010011100010010000
3122101100121
41103202100
541422120
611200024
72623360
oct1234220
9571317
10342160
11214085
12146014
13bc980
148c9a0
156b5aa
hex53890

342160 has 80 divisors (see below), whose sum is σ = 999936. Its totient is φ = 105984.

The previous prime is 342143. The next prime is 342179. The reversal of 342160 is 61243.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

342160 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7257 + ... + 7303.

2342160 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 342160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499968).

342160 is an abundant number, since it is smaller than the sum of its proper divisors (657776).

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

342160 is a wasteful number, since it uses less digits than its factorization.

342160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 342160 is about 584.9444418062. The cubic root of 342160 is about 69.9428104321.

It can be divided in two parts, 3421 and 60, that added together give a square (3481 = 592).

The spelling of 342160 in words is "three hundred forty-two thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 47 52 56 65 70 80 91 94 104 112 130 140 182 188 208 235 260 280 329 364 376 455 470 520 560 611 658 728 752 910 940 1040 1222 1316 1456 1645 1820 1880 2444 2632 3055 3290 3640 3760 4277 4888 5264 6110 6580 7280 8554 9776 12220 13160 17108 21385 24440 26320 34216 42770 48880 68432 85540 171080 342160