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268245384 = 233112711301
BaseRepresentation
bin11111111110100…
…01100110001000
3200200202021111020
433333101212020
51022132323014
642341232440
76435022341
oct1777214610
9620667436
10268245384
11128465800
1275a02720
13437602a4
14278a90c8
151883a1a9
hexffd1988

268245384 has 96 divisors (see below), whose sum is σ = 748077120. Its totient is φ = 80080000.

The previous prime is 268245337. The next prime is 268245391. The reversal of 268245384 is 483542862.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 205534 + ... + 206834.

It is an arithmetic number, because the mean of its divisors is an integer number (7792470).

Almost surely, 2268245384 is an apocalyptic number.

268245384 is a gapful number since it is divisible by the number (24) 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 268245384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374038560).

268245384 is an abundant number, since it is smaller than the sum of its proper divisors (479831736).

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

268245384 is a wasteful number, since it uses less digits than its factorization.

268245384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1403 (or 1388 counting only the distinct ones).

The product of its digits is 368640, while the sum is 42.

The square root of 268245384 is about 16378.1984357255. The cubic root of 268245384 is about 644.9272870378.

The spelling of 268245384 in words is "two hundred sixty-eight million, two hundred forty-five thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 71 88 121 132 142 213 242 264 284 363 426 484 568 726 781 852 968 1301 1452 1562 1704 2343 2602 2904 3124 3903 4686 5204 6248 7806 8591 9372 10408 14311 15612 17182 18744 25773 28622 31224 34364 42933 51546 57244 68728 85866 92371 103092 114488 157421 171732 184742 206184 277113 314842 343464 369484 472263 554226 629684 738968 944526 1016081 1108452 1259368 1889052 2032162 2216904 3048243 3778104 4064324 6096486 8128648 11176891 12192972 22353782 24385944 33530673 44707564 67061346 89415128 134122692 268245384