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268378236 = 223272514243
BaseRepresentation
bin11111111111100…
…10000001111100
3200201000000201200
433333302001330
51022201100421
642344135500
76436114560
oct1777620174
9621000650
10268378236
111285465a5
1275a67590
13437a88b9
14279016a0
1518864726
hexfff207c

268378236 has 72 divisors (see below), whose sum is σ = 778587264. Its totient is φ = 76356000.

The previous prime is 268378219. The next prime is 268378289. The reversal of 268378236 is 632873862.

It is a junction number, because it is equal to n+sod(n) for n = 268378191 and 268378200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61131 + ... + 65373.

It is an arithmetic number, because the mean of its divisors is an integer number (10813712).

Almost surely, 2268378236 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 268378236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389293632).

268378236 is an abundant number, since it is smaller than the sum of its proper divisors (510209028).

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

268378236 is a wasteful number, since it uses less digits than its factorization.

268378236 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4511 (or 4506 counting only the distinct ones).

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

The square root of 268378236 is about 16382.2536911134. The cubic root of 268378236 is about 645.0337389959.

The spelling of 268378236 in words is "two hundred sixty-eight million, three hundred seventy-eight thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 251 252 502 753 1004 1506 1757 2259 3012 3514 4243 4518 5271 7028 8486 9036 10542 12729 15813 16972 21084 25458 29701 31626 38187 50916 59402 63252 76374 89103 118804 152748 178206 267309 356412 534618 1064993 1069236 2129986 3194979 4259972 6389958 7454951 9584937 12779916 14909902 19169874 22364853 29819804 38339748 44729706 67094559 89459412 134189118 268378236