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268618368 = 273699527
BaseRepresentation
bin10000000000101…
…100101010000000
3200201110020010110
4100000230222000
51022231241433
642353231320
76441134634
oct2000545200
9621406113
10268618368
1112869aa57
1275b62540
1343860ca5
1427964dc4
15188b0963
hex1002ca80

268618368 has 32 divisors (see below), whose sum is σ = 713518560. Its totient is φ = 89539328.

The previous prime is 268618367. The next prime is 268618373. The reversal of 268618368 is 863816862.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (48).

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

It is not an unprimeable number, because it can be changed into a prime (268618367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 349380 + ... + 350147.

It is an arithmetic number, because the mean of its divisors is an integer number (22297455).

Almost surely, 2268618368 is an apocalyptic number.

It is an amenable number.

268618368 is an abundant number, since it is smaller than the sum of its proper divisors (444900192).

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

268618368 is an equidigital number, since it uses as much as digits as its factorization.

268618368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699544 (or 699532 counting only the distinct ones).

The product of its digits is 663552, while the sum is 48.

The square root of 268618368 is about 16389.5810806744. The cubic root of 268618368 is about 645.2260634184.

The spelling of 268618368 in words is "two hundred sixty-eight million, six hundred eighteen thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 699527 1399054 2098581 2798108 4197162 5596216 8394324 11192432 16788648 22384864 33577296 44769728 67154592 89539456 134309184 268618368