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268704240 = 24357273313
BaseRepresentation
bin10000000001000…
…001100111110000
3200201121120220220
4100001001213300
51022242013430
642355133040
76441643200
oct2001014760
9621546826
10268704240
11128749522
1275ba4180
13438910bc
1427988400
15188cb110
hex100419f0

268704240 has 240 divisors, whose sum is σ = 985392288. Its totient is φ = 60383232.

The previous prime is 268704229. The next prime is 268704253. The reversal of 268704240 is 42407862.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 858324 + ... + 858636.

Almost surely, 2268704240 is an apocalyptic number.

268704240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268704240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492696144).

268704240 is an abundant number, since it is smaller than the sum of its proper divisors (716688048).

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

268704240 is a wasteful number, since it uses less digits than its factorization.

268704240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 268704240 is about 16392.2005844243. The cubic root of 268704240 is about 645.2948114466.

The spelling of 268704240 in words is "two hundred sixty-eight million, seven hundred four thousand, two hundred forty".