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268305534 = 238723127
BaseRepresentation
bin11111111111000…
…00010001111110
3200200212100000000
433333200101332
51022141234114
642342415130
76435362610
oct1777402176
9620770000
10268305534
111284a6a12
1275a314a6
1343781793
14278c2db0
151884ce09
hexffe047e

268305534 has 144 divisors (see below), whose sum is σ = 725557248. Its totient is φ = 72748368.

The previous prime is 268305503. The next prime is 268305539. The reversal of 268305534 is 435503862.

It is a happy number.

268305534 is a `hidden beast` number, since 26 + 83 + 0 + 553 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268305539) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2112579 + ... + 2112705.

It is an arithmetic number, because the mean of its divisors is an integer number (5038592).

Almost surely, 2268305534 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268305534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362778624).

268305534 is an abundant number, since it is smaller than the sum of its proper divisors (457251714).

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

268305534 is an equidigital number, since it uses as much as digits as its factorization.

268305534 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 268305534 is about 16380.0346153480. The cubic root of 268305534 is about 644.9754885223.

The spelling of 268305534 in words is "two hundred sixty-eight million, three hundred five thousand, five hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 23 27 42 46 54 63 69 81 126 127 138 161 162 189 207 243 254 322 378 381 414 483 486 567 621 729 762 889 966 1134 1143 1242 1449 1458 1701 1778 1863 2187 2286 2667 2898 2921 3402 3429 3726 4347 4374 5103 5334 5589 5842 6561 6858 8001 8694 8763 10206 10287 11178 13041 13122 15309 16002 16767 17526 20447 20574 24003 26082 26289 30618 30861 33534 39123 40894 45927 48006 50301 52578 61341 61722 72009 78246 78867 91854 92583 100602 117369 122682 144018 150903 157734 184023 185166 216027 234738 236601 277749 301806 352107 368046 432054 473202 552069 555498 648081 704214 709803 833247 1056321 1104138 1296162 1419606 1656207 1666494 1944243 2112642 2129409 3312414 3888486 4258818 4968621 5832729 6388227 9937242 11665458 12776454 14905863 19164681 29811726 38329362 44717589 89435178 134152767 268305534