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427302 = 23341193
BaseRepresentation
bin1101000010100100110
3210201011000
41220110212
5102133202
613054130
73426531
oct1502446
9721130
10427302
11272047
12187346
1311c655
14b1a18
158691c
hex68526

427302 has 32 divisors (see below), whose sum is σ = 977760. Its totient is φ = 138240.

The previous prime is 427283. The next prime is 427307. The reversal of 427302 is 203724.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427307) by changing a digit.

427302 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2118 + ... + 2310.

It is an arithmetic number, because the mean of its divisors is an integer number (30555).

2427302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488880).

427302 is an abundant number, since it is smaller than the sum of its proper divisors (550458).

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

427302 is a wasteful number, since it uses less digits than its factorization.

427302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 239 counting only the distinct ones).

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

The square root of 427302 is about 653.6834096105. The cubic root of 427302 is about 75.3202307509.

It can be divided in two parts, 427 and 302, that added together give a 6-th power (729 = 36).

The spelling of 427302 in words is "four hundred twenty-seven thousand, three hundred two", and thus it is an iban number.

Divisors: 1 2 3 6 9 18 27 41 54 82 123 193 246 369 386 579 738 1107 1158 1737 2214 3474 5211 7913 10422 15826 23739 47478 71217 142434 213651 427302