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268402240 = 265838757
BaseRepresentation
bin11111111111101…
…11111001000000
3200201001020122201
433333313321000
51022202332430
642344442544
76436244551
oct1777677100
9621036581
10268402240
11128562637
1275a79454
13437b67c2
142790a328
151886b8ca
hexfff7e40

268402240 has 28 divisors (see below), whose sum is σ = 639133596. Its totient is φ = 107360768.

The previous prime is 268402237. The next prime is 268402243. The reversal of 268402240 is 42204862.

It is an interprime number because it is at equal distance from previous prime (268402237) and next prime (268402243).

It can be written as a sum of positive squares in 2 ways, for example, as 191102976 + 77299264 = 13824^2 + 8792^2 .

It is a junction number, because it is equal to n+sod(n) for n = 268402199 and 268402208.

It is not an unprimeable number, because it can be changed into a prime (268402243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 419059 + ... + 419698.

Almost surely, 2268402240 is an apocalyptic number.

268402240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268402240 is an abundant number, since it is smaller than the sum of its proper divisors (370731356).

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

268402240 is an equidigital number, since it uses as much as digits as its factorization.

268402240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838774 (or 838764 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

The square root of 268402240 is about 16382.9862967653. The cubic root of 268402240 is about 645.0529692292.

The spelling of 268402240 in words is "two hundred sixty-eight million, four hundred two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 838757 1677514 3355028 4193785 6710056 8387570 13420112 16775140 26840224 33550280 53680448 67100560 134201120 268402240