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268403112 = 23333473581
BaseRepresentation
bin11111111111110…
…00000110101000
3200201001021212000
433333320012220
51022202344422
642344451000
76436250235
oct1777700650
9621037760
10268403112
1112856325a
1275a79a60
13437b7013
142790a78c
151886bcac
hexfff81a8

268403112 has 64 divisors (see below), whose sum is σ = 747921600. Its totient is φ = 89184960.

The previous prime is 268403071. The next prime is 268403117. The reversal of 268403112 is 211304862.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (268403117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73162 + ... + 76742.

It is an arithmetic number, because the mean of its divisors is an integer number (11686275).

Almost surely, 2268403112 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 268403112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373960800).

268403112 is an abundant number, since it is smaller than the sum of its proper divisors (479518488).

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

268403112 is a wasteful number, since it uses less digits than its factorization.

268403112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3943 (or 3933 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 268403112 is about 16383.0129097184. The cubic root of 268403112 is about 645.0536677897.

Adding to 268403112 its reverse (211304862), we get a palindrome (479707974).

The spelling of 268403112 in words is "two hundred sixty-eight million, four hundred three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 347 694 1041 1388 2082 2776 3123 3581 4164 6246 7162 8328 9369 10743 12492 14324 18738 21486 24984 28648 32229 37476 42972 64458 74952 85944 96687 128916 193374 257832 386748 773496 1242607 2485214 3727821 4970428 7455642 9940856 11183463 14911284 22366926 29822568 33550389 44733852 67100778 89467704 134201556 268403112