Search a number
-
+
268373504 = 297103727
BaseRepresentation
bin11111111111100…
…00111000000000
3200200222210020102
433333300320000
51022200423004
642344101532
76436065020
oct1777607000
9620883212
10268373504
11128542a93
1275a648a8
13437a66b9
14278dda80
151886311e
hexfff0e00

268373504 has 80 divisors (see below), whose sum is σ = 619627008. Its totient is φ = 113743872.

The previous prime is 268373473. The next prime is 268373551. The reversal of 268373504 is 405373862.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 368789 + ... + 369515.

Almost surely, 2268373504 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 268373504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309813504).

268373504 is an abundant number, since it is smaller than the sum of its proper divisors (351253504).

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

268373504 is an equidigital number, since it uses as much as digits as its factorization.

268373504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 38.

The square root of 268373504 is about 16382.1092659035. The cubic root of 268373504 is about 645.0299479314.

The spelling of 268373504 in words is "two hundred sixty-eight million, three hundred seventy-three thousand, five hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 103 112 128 206 224 256 412 448 512 721 727 824 896 1442 1454 1648 1792 2884 2908 3296 3584 5089 5768 5816 6592 10178 11536 11632 13184 20356 23072 23264 26368 40712 46144 46528 52736 74881 81424 92288 93056 149762 162848 184576 186112 299524 325696 369152 372224 524167 599048 651392 1048334 1198096 1302784 2096668 2396192 2605568 4193336 4792384 8386672 9584768 16773344 19169536 33546688 38339072 67093376 134186752 268373504