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268328376 = 2335831663
BaseRepresentation
bin11111111111001…
…01110110111000
3200200220111100000
433333211312320
51022143002001
642343113000
76435516321
oct1777456670
9620814300
10268328376
11128512098
1275a42760
134378bcb4
14278cb448
1518854a86
hexffe5db8

268328376 has 96 divisors (see below), whose sum is σ = 763176960. Its totient is φ = 88312032.

The previous prime is 268328353. The next prime is 268328377. The reversal of 268328376 is 673823862.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268328377) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160521 + ... + 162183.

It is an arithmetic number, because the mean of its divisors is an integer number (7949760).

Almost surely, 2268328376 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 268328376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381588480).

268328376 is an abundant number, since it is smaller than the sum of its proper divisors (494848584).

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

268328376 is a wasteful number, since it uses less digits than its factorization.

268328376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1767 (or 1751 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 268328376 is about 16380.7318517824. The cubic root of 268328376 is about 644.9937911787.

The spelling of 268328376 in words is "two hundred sixty-eight million, three hundred twenty-eight thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 83 108 162 166 216 243 249 324 332 486 498 648 664 747 972 996 1494 1663 1944 1992 2241 2988 3326 4482 4989 5976 6652 6723 8964 9978 13304 13446 14967 17928 19956 20169 26892 29934 39912 40338 44901 53784 59868 80676 89802 119736 134703 138029 161352 179604 269406 276058 359208 404109 414087 538812 552116 808218 828174 1077624 1104232 1242261 1616436 1656348 2484522 3232872 3312696 3726783 4969044 7453566 9938088 11180349 14907132 22360698 29814264 33541047 44721396 67082094 89442792 134164188 268328376