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312704 = 277349
BaseRepresentation
bin1001100010110000000
3120212221122
41030112000
540001304
610411412
72441450
oct1142600
9525848
10312704
111a3a37
12130b68
13ac442
1481d60
15629be
hex4c580

312704 has 32 divisors (see below), whose sum is σ = 714000. Its totient is φ = 133632.

The previous prime is 312703. The next prime is 312709. The reversal of 312704 is 407213.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312701) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 722 + ... + 1070.

2312704 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 312704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357000).

312704 is an abundant number, since it is smaller than the sum of its proper divisors (401296).

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

312704 is an equidigital number, since it uses as much as digits as its factorization.

312704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 312704 is about 559.1994277536. The cubic root of 312704 is about 67.8752036347.

Adding to 312704 its reverse (407213), we get a palindrome (719917).

The spelling of 312704 in words is "three hundred twelve thousand, seven hundred four", and thus it is an iban number.

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 349 448 698 896 1396 2443 2792 4886 5584 9772 11168 19544 22336 39088 44672 78176 156352 312704