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268310310 = 23537247139
BaseRepresentation
bin11111111111000…
…01011100100110
3200200212120112220
433333201130212
51022141412220
642342453210
76435412542
oct1777413446
9620776486
10268310310
111284aa564
1275a34206
13437839c8
14278c4a22
151884e540
hexffe1726

268310310 has 96 divisors (see below), whose sum is σ = 680762880. Its totient is φ = 67644288.

The previous prime is 268310293. The next prime is 268310333. The reversal of 268310310 is 13013862.

It is a super-2 number, since 2×2683103102 = 143980844904592200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1930221 + ... + 1930359.

It is an arithmetic number, because the mean of its divisors is an integer number (7091280).

Almost surely, 2268310310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268310310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340381440).

268310310 is an abundant number, since it is smaller than the sum of its proper divisors (412452570).

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

268310310 is a wasteful number, since it uses less digits than its factorization.

268310310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 268310310 is about 16380.1804019370. The cubic root of 268310310 is about 644.9793154835.

The spelling of 268310310 in words is "two hundred sixty-eight million, three hundred ten thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 37 47 74 94 111 139 141 185 222 235 278 282 370 417 470 555 695 705 834 1110 1369 1390 1410 1739 2085 2738 3478 4107 4170 5143 5217 6533 6845 8214 8695 10286 10434 13066 13690 15429 17390 19599 20535 25715 26085 30858 32665 39198 41070 51430 52170 64343 65330 77145 97995 128686 154290 190291 193029 195990 241721 321715 380582 386058 483442 570873 643430 725163 951455 965145 1141746 1208605 1450326 1902910 1930290 2417210 2854365 3625815 5708730 7251630 8943677 17887354 26831031 44718385 53662062 89436770 134155155 268310310