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634312 = 23747241
BaseRepresentation
bin10011010110111001000
31012020010001
42122313020
5130244222
621332344
75251210
oct2326710
91166101
10634312
113a3628
122670b4
13192943
14127240
15c7e27
hex9adc8

634312 has 32 divisors (see below), whose sum is σ = 1393920. Its totient is φ = 264960.

The previous prime is 634307. The next prime is 634313. The reversal of 634312 is 213436.

634312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 634312.

It is not an unprimeable number, because it can be changed into a prime (634313) by changing a digit.

634312 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 7 ways as a sum of consecutive naturals, for example, 2512 + ... + 2752.

It is an arithmetic number, because the mean of its divisors is an integer number (43560).

2634312 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 634312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696960).

634312 is an abundant number, since it is smaller than the sum of its proper divisors (759608).

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

634312 is a wasteful number, since it uses less digits than its factorization.

634312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 297 counting only the distinct ones).

The product of its digits is 432, while the sum is 19.

The square root of 634312 is about 796.4370659380. The cubic root of 634312 is about 85.9213270061.

Adding to 634312 its reverse (213436), we get a palindrome (847748).

It can be divided in two parts, 634 and 312, that added together give a triangular number (946 = T43).

The spelling of 634312 in words is "six hundred thirty-four thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 28 47 56 94 188 241 329 376 482 658 964 1316 1687 1928 2632 3374 6748 11327 13496 22654 45308 79289 90616 158578 317156 634312