Search a number
-
+
302742 = 232112139
BaseRepresentation
bin1001001111010010110
3120101021200
41021322112
534141432
610253330
72400426
oct1117226
9511250
10302742
11197500
12127246
13a7a4b
147c486
155ea7c
hex49e96

302742 has 36 divisors (see below), whose sum is σ = 726180. Its totient is φ = 91080.

The previous prime is 302723. The next prime is 302747. The reversal of 302742 is 247203.

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 (302747) by changing a digit.

302742 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 17 ways as a sum of consecutive naturals, for example, 2109 + ... + 2247.

2302742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 302742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363090).

302742 is an abundant number, since it is smaller than the sum of its proper divisors (423438).

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

302742 is a wasteful number, since it uses less digits than its factorization.

302742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 155 counting only the distinct ones).

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

The square root of 302742 is about 550.2199560176. The cubic root of 302742 is about 67.1466306702.

Adding to 302742 its reverse (247203), we get a palindrome (549945).

It can be divided in two parts, 30274 and 2, that added together give a square (30276 = 1742).

The spelling of 302742 in words is "three hundred two thousand, seven hundred forty-two", and thus it is an iban number.

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 139 198 242 278 363 417 726 834 1089 1251 1529 2178 2502 3058 4587 9174 13761 16819 27522 33638 50457 100914 151371 302742