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242703378 = 23419292719
BaseRepresentation
bin11100111011101…
…01110000010010
3121220200121110000
432131311300102
5444113002003
640025550430
76004642011
oct1635656022
9556617400
10242703378
11114aaa705
1269345416
133b389488
142433aa78
15164921a3
hexe775c12

242703378 has 80 divisors (see below), whose sum is σ = 592416000. Its totient is φ = 73973088.

The previous prime is 242703343. The next prime is 242703379. The reversal of 242703378 is 873307242.

It is a super-2 number, since 2×2427033782 = 117809859385221768, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (242703379) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 87903 + ... + 90621.

It is an arithmetic number, because the mean of its divisors is an integer number (7405200).

Almost surely, 2242703378 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242703378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296208000).

242703378 is an abundant number, since it is smaller than the sum of its proper divisors (349712622).

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

242703378 is a wasteful number, since it uses less digits than its factorization.

242703378 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2781 (or 2772 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 242703378 is about 15578.9402078575. The cubic root of 242703378 is about 623.7711346341.

The spelling of 242703378 in words is "two hundred forty-two million, seven hundred three thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 9 18 19 27 29 38 54 57 58 81 87 114 162 171 174 261 342 513 522 551 783 1026 1102 1539 1566 1653 2349 2719 3078 3306 4698 4959 5438 8157 9918 14877 16314 24471 29754 44631 48942 51661 73413 78851 89262 103322 146826 154983 157702 220239 236553 309966 440478 464949 473106 709659 929898 1394847 1419318 1498169 2128977 2789694 2996338 4184541 4257954 4494507 6386931 8369082 8989014 12773862 13483521 26967042 40450563 80901126 121351689 242703378