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642312 = 233211811
BaseRepresentation
bin10011100110100001000
31012122002100
42130310020
5131023222
621433400
75313426
oct2346410
91178070
10642312
113a9640
1226b860
13196488
1412a116
15ca4ac
hex9cd08

642312 has 48 divisors (see below), whose sum is σ = 1900080. Its totient is φ = 194400.

The previous prime is 642281. The next prime is 642359. The reversal of 642312 is 213246.

It is a happy number.

642312 is nontrivially palindromic in base 15.

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 a d-powerful number, because it can be written as 62 + 48 + 39 + 215 + 1 + 219 .

It is an unprimeable number.

642312 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 11 ways as a sum of consecutive naturals, for example, 387 + ... + 1197.

It is an arithmetic number, because the mean of its divisors is an integer number (39585).

2642312 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 642312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (950040).

642312 is an abundant number, since it is smaller than the sum of its proper divisors (1257768).

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

642312 is a wasteful number, since it uses less digits than its factorization.

642312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834 (or 827 counting only the distinct ones).

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

The square root of 642312 is about 801.4436973363. The cubic root of 642312 is about 86.2810348303.

Adding to 642312 its reverse (213246), we get a palindrome (855558).

The spelling of 642312 in words is "six hundred forty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 811 1622 2433 3244 4866 6488 7299 8921 9732 14598 17842 19464 26763 29196 35684 53526 58392 71368 80289 107052 160578 214104 321156 642312