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268334208 = 27358627
BaseRepresentation
bin11111111111001…
…11010010000000
3200200220210100000
433333213102000
51022143143313
642343200000
76435542322
oct1777472200
9620823300
10268334208
1112851650a
1275a46000
134379184c
14278cd612
1518856673
hexffe7480

268334208 has 96 divisors (see below), whose sum is σ = 800850960. Its totient is φ = 89434368.

The previous prime is 268334201. The next prime is 268334219. The reversal of 268334208 is 802433862.

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 not an unprimeable number, because it can be changed into a prime (268334201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26791 + ... + 35417.

Almost surely, 2268334208 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 268334208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400425480).

268334208 is an abundant number, since it is smaller than the sum of its proper divisors (532516752).

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

268334208 is an frugal number, since it uses more digits than its factorization.

268334208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8656 (or 8632 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 268334208 is about 16380.9098648396. The cubic root of 268334208 is about 644.9984640310.

The spelling of 268334208 in words is "two hundred sixty-eight million, three hundred thirty-four thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 288 324 384 432 486 576 648 864 972 1152 1296 1728 1944 2592 3456 3888 5184 7776 8627 10368 15552 17254 25881 31104 34508 51762 69016 77643 103524 138032 155286 207048 232929 276064 310572 414096 465858 552128 621144 698787 828192 931716 1104256 1242288 1397574 1656384 1863432 2096361 2484576 2795148 3312768 3726864 4192722 4969152 5590296 7453728 8385444 9938304 11180592 14907456 16770888 22361184 29814912 33541776 44722368 67083552 89444736 134167104 268334208