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270342 = 23223653
BaseRepresentation
bin1000010000000000110
3111201211200
41002000012
532122332
65443330
72204112
oct1020006
9451750
10270342
11175126
12110546
1396087
1470742
155517c
hex42006

270342 has 24 divisors (see below), whose sum is σ = 612144. Its totient is φ = 86064.

The previous prime is 270337. The next prime is 270343. The reversal of 270342 is 243072.

It is a happy number.

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

It is a nialpdrome in base 6.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 270342.

It is not an unprimeable number, because it can be changed into a prime (270343) 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, 88 + ... + 740.

It is an arithmetic number, because the mean of its divisors is an integer number (25506).

2270342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 270342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306072).

270342 is an abundant number, since it is smaller than the sum of its proper divisors (341802).

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

270342 is a wasteful number, since it uses less digits than its factorization.

270342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 270342 is about 519.9442277783. The cubic root of 270342 is about 64.6603186929.

It can be divided in two parts, 2703 and 42, that multiplied together give a triangular number (113526 = T476).

The spelling of 270342 in words is "two hundred seventy thousand, three hundred forty-two", and thus it is an iban number.

Divisors: 1 2 3 6 9 18 23 46 69 138 207 414 653 1306 1959 3918 5877 11754 15019 30038 45057 90114 135171 270342