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242678268 = 223871321
BaseRepresentation
bin11100111011011…
…11100111111100
3121220122100000000
432131233213330
5444111201033
640025234300
76004505550
oct1635574774
9556570000
10242678268
11114a92858
1269332990
133b37ac11
1424331860
1516489a13
hexe76f9fc

242678268 has 108 divisors (see below), whose sum is σ = 728548912. Its totient is φ = 69284160.

The previous prime is 242678263. The next prime is 242678273. The reversal of 242678268 is 862876242.

It is an interprime number because it is at equal distance from previous prime (242678263) and next prime (242678273).

It is a tau number, because it is divible by the number of its divisors (108).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242678263) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 183048 + ... + 184368.

Almost surely, 2242678268 is an apocalyptic number.

242678268 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242678268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364274456).

242678268 is an abundant number, since it is smaller than the sum of its proper divisors (485870644).

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

242678268 is an equidigital number, since it uses as much as digits as its factorization.

242678268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1356 (or 1333 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 242678268 is about 15578.1342913714. The cubic root of 242678268 is about 623.7496221834.

The spelling of 242678268 in words is "two hundred forty-two million, six hundred seventy-eight thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 729 756 972 1134 1321 1458 1701 2187 2268 2642 2916 3402 3963 4374 5103 5284 6561 6804 7926 8748 9247 10206 11889 13122 15309 15852 18494 20412 23778 26244 27741 30618 35667 36988 45927 47556 55482 61236 71334 83223 91854 107001 110964 142668 166446 183708 214002 249669 321003 332892 428004 499338 642006 749007 963009 998676 1284012 1498014 1926018 2247021 2889027 2996028 3852036 4494042 5778054 6741063 8667081 8988084 11556108 13482126 17334162 20223189 26964252 34668324 40446378 60669567 80892756 121339134 242678268