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268340256 = 25331372267
BaseRepresentation
bin11111111111010…
…00110000100000
3200200221002122000
433333220300200
51022143342011
642343244000
76435566052
oct1777506040
9620832560
10268340256
11128520008
1275a49600
1343794522
14278d18d2
1518858356
hexffe8c20

268340256 has 96 divisors (see below), whose sum is σ = 788719680. Its totient is φ = 88754688.

The previous prime is 268340239. The next prime is 268340329. The reversal of 268340256 is 652043862.

268340256 is a `hidden beast` number, since 2 + 68 + 340 + 256 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 268340256.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117235 + ... + 119501.

It is an arithmetic number, because the mean of its divisors is an integer number (8215830).

Almost surely, 2268340256 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 268340256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394359840).

268340256 is an abundant number, since it is smaller than the sum of its proper divisors (520379424).

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

268340256 is a wasteful number, since it uses less digits than its factorization.

268340256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2423 (or 2409 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 268340256 is about 16381.0944689297. The cubic root of 268340256 is about 645.0033098803.

The spelling of 268340256 in words is "two hundred sixty-eight million, three hundred forty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 137 144 216 274 288 411 432 548 822 864 1096 1233 1644 2192 2267 2466 3288 3699 4384 4534 4932 6576 6801 7398 9068 9864 13152 13602 14796 18136 19728 20403 27204 29592 36272 39456 40806 54408 59184 61209 72544 81612 108816 118368 122418 163224 217632 244836 310579 326448 489672 621158 652896 931737 979344 1242316 1863474 1958688 2484632 2795211 3726948 4969264 5590422 7453896 8385633 9938528 11180844 14907792 16771266 22361688 29815584 33542532 44723376 67085064 89446752 134170128 268340256