Search a number
-
+
242054340 = 2235111372677
BaseRepresentation
bin11100110110101…
…11010011000100
3121212110122010120
432123113103010
5443431214330
640004021540
75666266533
oct1633272304
9555418116
10242054340
111146a7010
12690918b0
133b1bcc28
142420c31a
15163b4c10
hexe6d74c4

242054340 has 96 divisors (see below), whose sum is σ = 745041024. Its totient is φ = 58229760.

The previous prime is 242054327. The next prime is 242054383. The reversal of 242054340 is 43450242.

It is a self number, because there is not a number n which added to its sum of digits gives 242054340.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89082 + ... + 91758.

It is an arithmetic number, because the mean of its divisors is an integer number (7760844).

Almost surely, 2242054340 is an apocalyptic number.

242054340 is a gapful number since it is divisible by the number (20) 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 242054340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372520512).

242054340 is an abundant number, since it is smaller than the sum of its proper divisors (502986684).

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

242054340 is a wasteful number, since it uses less digits than its factorization.

242054340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2837 (or 2835 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 242054340 is about 15558.0956418194. The cubic root of 242054340 is about 623.2146081245.

The spelling of 242054340 in words is "two hundred forty-two million, fifty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 137 165 220 274 330 411 548 660 685 822 1370 1507 1644 2055 2677 2740 3014 4110 4521 5354 6028 7535 8031 8220 9042 10708 13385 15070 16062 18084 22605 26770 29447 30140 32124 40155 45210 53540 58894 80310 88341 90420 117788 147235 160620 176682 294470 353364 366749 441705 588940 733498 883410 1100247 1466996 1766820 1833745 2200494 3667490 4034239 4400988 5501235 7334980 8068478 11002470 12102717 16136956 20171195 22004940 24205434 40342390 48410868 60513585 80684780 121027170 242054340