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6315312 = 243413209
BaseRepresentation
bin11000000101110100110000
3102212211222110
4120011310300
53104042222
6343205320
7104451663
oct30056460
912784873
106315312
113623873
122146840
131401693
14ba56da
1584b30c
hex605d30

6315312 has 40 divisors (see below), whose sum is σ = 16717680. Its totient is φ = 2053120.

The previous prime is 6315311. The next prime is 6315341. The reversal of 6315312 is 2135136.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (6315311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 364 + ... + 3572.

It is an arithmetic number, because the mean of its divisors is an integer number (417942).

Almost surely, 26315312 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 6315312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8358840).

6315312 is an abundant number, since it is smaller than the sum of its proper divisors (10402368).

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

6315312 is a wasteful number, since it uses less digits than its factorization.

6315312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3261 (or 3255 counting only the distinct ones).

The product of its digits is 540, while the sum is 21.

The square root of 6315312 is about 2513.0284518883. The cubic root of 6315312 is about 184.8409833955.

The spelling of 6315312 in words is "six million, three hundred fifteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 164 246 328 492 656 984 1968 3209 6418 9627 12836 19254 25672 38508 51344 77016 131569 154032 263138 394707 526276 789414 1052552 1578828 2105104 3157656 6315312