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426312 = 233231191
BaseRepresentation
bin1101000000101001000
3210122210100
41220011020
5102120222
613045400
73423615
oct1500510
9718710
10426312
11271327
12186860
1311c073
14b150c
15864ac
hex68148

426312 has 48 divisors (see below), whose sum is σ = 1198080. Its totient is φ = 136800.

The previous prime is 426311. The next prime is 426319. The reversal of 426312 is 213624.

It is a happy number.

426312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 426312.

It is not an unprimeable number, because it can be changed into a prime (426311) 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, 2137 + ... + 2327.

It is an arithmetic number, because the mean of its divisors is an integer number (24960).

2426312 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 426312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599040).

426312 is an abundant number, since it is smaller than the sum of its proper divisors (771768).

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

426312 is a wasteful number, since it uses less digits than its factorization.

426312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 227 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 426312 is about 652.9257231876. The cubic root of 426312 is about 75.2620168960.

Adding to 426312 its reverse (213624), we get a palindrome (639936).

The spelling of 426312 in words is "four hundred twenty-six thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 191 248 279 372 382 558 573 744 764 1116 1146 1528 1719 2232 2292 3438 4584 5921 6876 11842 13752 17763 23684 35526 47368 53289 71052 106578 142104 213156 426312