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242054384 = 241113671579
BaseRepresentation
bin11100110110101…
…11010011110000
3121212110122012012
432123113103300
5443431220014
640004022052
75666266625
oct1633272360
9555418165
10242054384
111146a7050
1269091928
133b1bcc60
142420c34c
15163b4c3e
hexe6d74f0

242054384 has 80 divisors (see below), whose sum is σ = 559547520. Its totient is φ = 99982080.

The previous prime is 242054383. The next prime is 242054399. The reversal of 242054384 is 483450242.

It is a self number, because there is not a number n which added to its sum of digits gives 242054384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242054383) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152507 + ... + 154085.

It is an arithmetic number, because the mean of its divisors is an integer number (6994344).

Almost surely, 2242054384 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 242054384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279773760).

242054384 is an abundant number, since it is smaller than the sum of its proper divisors (317493136).

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

242054384 is a wasteful number, since it uses less digits than its factorization.

242054384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1678 (or 1672 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 32.

The square root of 242054384 is about 15558.0970558742. The cubic root of 242054384 is about 623.2146458866.

The spelling of 242054384 in words is "two hundred forty-two million, fifty-four thousand, three hundred eighty-four".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 67 88 104 134 143 176 208 268 286 536 572 737 871 1072 1144 1474 1579 1742 2288 2948 3158 3484 5896 6316 6968 9581 11792 12632 13936 17369 19162 20527 25264 34738 38324 41054 69476 76648 82108 105793 138952 153296 164216 211586 225797 277904 328432 423172 451594 846344 903188 1163723 1375309 1692688 1806376 2327446 2750618 3612752 4654892 5501236 9309784 11002472 15128399 18619568 22004944 30256798 60513596 121027192 242054384