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268323342 = 23717677179
BaseRepresentation
bin11111111111001…
…00101000001110
3200200220020102120
433333210220032
51022142321332
642343033410
76435465540
oct1777445016
9620806376
10268323342
11128509331
1275a3b866
1343789911
14278c9690
151885332c
hexffe4a0e

268323342 has 128 divisors (see below), whose sum is σ = 676823040. Its totient is φ = 69189120.

The previous prime is 268323287. The next prime is 268323347. The reversal of 268323342 is 243323862.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268323347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3396459 + ... + 3396537.

It is an arithmetic number, because the mean of its divisors is an integer number (5287680).

Almost surely, 2268323342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268323342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338411520).

268323342 is an abundant number, since it is smaller than the sum of its proper divisors (408499698).

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

268323342 is a wasteful number, since it uses less digits than its factorization.

268323342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246.

The product of its digits is 41472, while the sum is 33.

The square root of 268323342 is about 16380.5781949234. The cubic root of 268323342 is about 644.9897576644.

It can be divided in two parts, 268 and 323342, that added together give a triangular number (323610 = T804).

The spelling of 268323342 in words is "two hundred sixty-eight million, three hundred twenty-three thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 67 71 79 102 119 134 142 158 201 213 237 238 357 402 426 469 474 497 553 714 938 994 1106 1139 1207 1343 1407 1491 1659 2278 2414 2686 2814 2982 3318 3417 3621 4029 4757 5293 5609 6834 7242 7973 8058 8449 9401 9514 10586 11218 14271 15879 15946 16827 16898 18802 23919 25347 28203 28542 31758 33299 33654 37051 39263 47838 50694 56406 66598 74102 78526 80869 89981 95353 99897 111153 117789 161738 179962 190706 199794 222306 235578 242607 269943 286059 375803 485214 539886 566083 572118 629867 667471 751606 1127409 1132166 1259734 1334942 1698249 1889601 2002413 2254818 2630621 3396498 3779202 4004826 5261242 6388651 7891863 12777302 15783726 19165953 38331906 44720557 89441114 134161671 268323342