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242704248 = 233291073259
BaseRepresentation
bin11100111011101…
…01111101111000
3121220200122122020
432131311331320
5444113013443
640025554440
76004644363
oct1635657570
9556618566
10242704248
11115000326
1269345a20
133b3899a7
142433b0da
1516492583
hexe775f78

242704248 has 64 divisors (see below), whose sum is σ = 633744000. Its totient is φ = 77357952.

The previous prime is 242704247. The next prime is 242704279. The reversal of 242704248 is 842407242.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242704247) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 72843 + ... + 76101.

It is an arithmetic number, because the mean of its divisors is an integer number (9902250).

Almost surely, 2242704248 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 242704248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316872000).

242704248 is an abundant number, since it is smaller than the sum of its proper divisors (391039752).

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

242704248 is a wasteful number, since it uses less digits than its factorization.

242704248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3404 (or 3400 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 33.

The square root of 242704248 is about 15578.9681301426. The cubic root of 242704248 is about 623.7718799612.

The spelling of 242704248 in words is "two hundred forty-two million, seven hundred four thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 107 116 174 214 232 321 348 428 642 696 856 1284 2568 3103 3259 6206 6518 9309 9777 12412 13036 18618 19554 24824 26072 37236 39108 74472 78216 94511 189022 283533 348713 378044 567066 697426 756088 1046139 1134132 1394852 2092278 2268264 2789704 4184556 8369112 10112677 20225354 30338031 40450708 60676062 80901416 121352124 242704248