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242055378 = 23431157307
BaseRepresentation
bin11100110110101…
…11100011010010
3121212110200120000
432123113203102
5443431233003
640004030430
75666302545
oct1633274322
9555420500
10242055378
111146a7874
1269092416
133b1c0546
142420c85c
15163b51a3
hexe6d78d2

242055378 has 80 divisors (see below), whose sum is σ = 565281024. Its totient is φ = 77332320.

The previous prime is 242055361. The next prime is 242055403. The reversal of 242055378 is 873550242.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 788301 + ... + 788607.

Almost surely, 2242055378 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242055378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282640512).

242055378 is an abundant number, since it is smaller than the sum of its proper divisors (323225646).

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

242055378 is a wasteful number, since it uses less digits than its factorization.

242055378 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 242055378 is about 15558.1290006222. The cubic root of 242055378 is about 623.2154989655.

The spelling of 242055378 in words is "two hundred forty-two million, fifty-five thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 9 18 27 31 54 62 81 93 157 162 186 279 307 314 471 558 614 837 921 942 1413 1674 1842 2511 2763 2826 4239 4867 5022 5526 8289 8478 9517 9734 12717 14601 16578 19034 24867 25434 28551 29202 43803 48199 49734 57102 85653 87606 96398 131409 144597 171306 256959 262818 289194 394227 433791 513918 770877 788454 867582 1301373 1494169 1541754 2602746 2988338 3904119 4482507 7808238 8965014 13447521 26895042 40342563 80685126 121027689 242055378