Search a number
-
+
402318 = 232731103
BaseRepresentation
bin1100010001110001110
3202102212200
41202032032
5100333233
612342330
73263640
oct1421616
9672780
10402318
112552a4
121749a6
13111177
14a6890
157e313
hex6238e

402318 has 48 divisors (see below), whose sum is σ = 1038336. Its totient is φ = 110160.

The previous prime is 402313. The next prime is 402329. The reversal of 402318 is 813204.

It is a happy number.

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

It is a plaindrome in base 13.

It is a zygodrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 402318.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402313) by changing a digit.

402318 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 23 ways as a sum of consecutive naturals, for example, 3855 + ... + 3957.

It is an arithmetic number, because the mean of its divisors is an integer number (21632).

2402318 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402318, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519168).

402318 is an abundant number, since it is smaller than the sum of its proper divisors (636018).

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

402318 is a wasteful number, since it uses less digits than its factorization.

402318 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 402318 is about 634.2854247104. The cubic root of 402318 is about 73.8226823442.

The spelling of 402318 in words is "four hundred two thousand, three hundred eighteen".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 62 63 93 103 126 186 206 217 279 309 434 558 618 651 721 927 1302 1442 1854 1953 2163 3193 3906 4326 6386 6489 9579 12978 19158 22351 28737 44702 57474 67053 134106 201159 402318