Search a number
-
+
312708 = 2231123103
BaseRepresentation
bin1001100010110000100
3120212221210
41030112010
540001313
610411420
72441454
oct1142604
9525853
10312708
111a3a40
12130b70
13ac446
1481d64
15629c3
hex4c584

312708 has 48 divisors (see below), whose sum is σ = 838656. Its totient is φ = 89760.

The previous prime is 312703. The next prime is 312709. The reversal of 312708 is 807213.

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

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2985 + ... + 3087.

It is an arithmetic number, because the mean of its divisors is an integer number (17472).

2312708 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 312708, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419328).

312708 is an abundant number, since it is smaller than the sum of its proper divisors (525948).

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

312708 is a wasteful number, since it uses less digits than its factorization.

312708 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 312708 is about 559.2030042838. The cubic root of 312708 is about 67.8754930454.

The spelling of 312708 in words is "three hundred twelve thousand, seven hundred eight".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 103 132 138 206 253 276 309 412 506 618 759 1012 1133 1236 1518 2266 2369 3036 3399 4532 4738 6798 7107 9476 13596 14214 26059 28428 52118 78177 104236 156354 312708