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6864312 = 2337213449
BaseRepresentation
bin11010001011110110111000
3110220202001210
4122023312320
53224124222
6403043120
7112226400
oct32136670
913822053
106864312
113969294
1223704a0
131564530
14ca9800
15908d0c
hex68bdb8

6864312 has 96 divisors (see below), whose sum is σ = 21546000. Its totient is φ = 1806336.

The previous prime is 6864307. The next prime is 6864317. The reversal of 6864312 is 2134686.

It is an interprime number because it is at equal distance from previous prime (6864307) and next prime (6864317).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 6864312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6864317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15064 + ... + 15512.

Almost surely, 26864312 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 6864312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10773000).

6864312 is an abundant number, since it is smaller than the sum of its proper divisors (14681688).

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

6864312 is a wasteful number, since it uses less digits than its factorization.

6864312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 474 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 6864312 is about 2619.9832060530. The cubic root of 6864312 is about 190.0490362815.

Adding to 6864312 its reverse (2134686), we get a palindrome (8998998).

The spelling of 6864312 in words is "six million, eight hundred sixty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 49 52 56 78 84 91 98 104 147 156 168 182 196 273 294 312 364 392 449 546 588 637 728 898 1092 1176 1274 1347 1796 1911 2184 2548 2694 3143 3592 3822 5096 5388 5837 6286 7644 9429 10776 11674 12572 15288 17511 18858 22001 23348 25144 35022 37716 40859 44002 46696 66003 70044 75432 81718 88004 122577 132006 140088 163436 176008 245154 264012 286013 326872 490308 528024 572026 858039 980616 1144052 1716078 2288104 3432156 6864312