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268409394 = 232116171313
BaseRepresentation
bin11111111111110…
…01101000110010
3200201001121110200
433333321220302
51022203100034
642344540030
76436304451
oct1777715062
9621047420
10268409394
11128567a50
1275a81616
13437b9b36
142790cb98
151886da99
hexfff9a32

268409394 has 96 divisors (see below), whose sum is σ = 655993728. Its totient is φ = 78624000.

The previous prime is 268409381. The next prime is 268409423. The reversal of 268409394 is 493904862.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 857382 + ... + 857694.

It is an arithmetic number, because the mean of its divisors is an integer number (6833268).

Almost surely, 2268409394 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268409394, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327996864).

268409394 is an abundant number, since it is smaller than the sum of its proper divisors (387584334).

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

268409394 is a wasteful number, since it uses less digits than its factorization.

268409394 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 268409394 is about 16383.2046315732. The cubic root of 268409394 is about 645.0587002643.

The spelling of 268409394 in words is "two hundred sixty-eight million, four hundred nine thousand, three hundred ninety-four".

Divisors: 1 2 3 6 9 11 18 22 33 61 66 71 99 122 142 183 198 213 313 366 426 549 626 639 671 781 939 1098 1278 1342 1562 1878 2013 2343 2817 3443 4026 4331 4686 5634 6039 6886 7029 8662 10329 12078 12993 14058 19093 20658 22223 25986 30987 38186 38979 44446 47641 57279 61974 66669 77958 95282 114558 133338 142923 171837 200007 210023 244453 285846 343674 400014 420046 428769 488906 630069 733359 857538 1260138 1355603 1466718 1890207 2200077 2711206 3780414 4066809 4400154 8133618 12200427 14911633 24400854 29823266 44734899 89469798 134204697 268409394