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68218368 = 293231931
BaseRepresentation
bin1000001000011…
…10111000000000
311202100212000020
410010032320000
5114430441433
610434053440
71455563241
oct404167000
9152325006
1068218368
1135564519
121aa1a280
13111968ca
1490bacc8
155ec7cb3
hex410ee00

68218368 has 80 divisors (see below), whose sum is σ = 189737856. Its totient is φ = 21739520.

The previous prime is 68218363. The next prime is 68218373. The reversal of 68218368 is 86381286.

It is an interprime number because it is at equal distance from previous prime (68218363) and next prime (68218373).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68218363) 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, 34363 + ... + 36293.

Almost surely, 268218368 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 68218368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94868928).

68218368 is an abundant number, since it is smaller than the sum of its proper divisors (121519488).

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

68218368 is a wasteful number, since it uses less digits than its factorization.

68218368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1975 (or 1959 counting only the distinct ones).

The product of its digits is 110592, while the sum is 42.

The square root of 68218368 is about 8259.4411433220. The cubic root of 68218368 is about 408.6019565061.

It can be divided in two parts, 68218 and 368, that added together give a palindrome (68586).

The spelling of 68218368 in words is "sixty-eight million, two hundred eighteen thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 256 276 368 384 512 552 736 768 1104 1472 1536 1931 2208 2944 3862 4416 5793 5888 7724 8832 11586 11776 15448 17664 23172 30896 35328 44413 46344 61792 88826 92688 123584 133239 177652 185376 247168 266478 355304 370752 494336 532956 710608 741504 988672 1065912 1421216 1483008 2131824 2842432 2966016 4263648 5684864 8527296 11369728 17054592 22739456 34109184 68218368