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242324280 = 233251125563
BaseRepresentation
bin11100111000110…
…01001100111000
3121212222100102100
432130121030320
5444013334110
640013503400
76001502532
oct1634311470
9555870370
10242324280
11114870900
12691a1b60
133b285a63
142427c852
1516419bc0
hexe719338

242324280 has 144 divisors (see below), whose sum is σ = 865814040. Its totient is φ = 58734720.

The previous prime is 242324279. The next prime is 242324353. The reversal of 242324280 is 82423242.

242324280 is a `hidden beast` number, since 2 + 4 + 232 + 428 + 0 = 666.

242324280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 40779 + ... + 46341.

Almost surely, 2242324280 is an apocalyptic number.

242324280 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 242324280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432907020).

242324280 is an abundant number, since it is smaller than the sum of its proper divisors (623489760).

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

242324280 is a wasteful number, since it uses less digits than its factorization.

242324280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5602 (or 5584 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 242324280 is about 15566.7684507736. The cubic root of 242324280 is about 623.4461925597.

The spelling of 242324280 in words is "two hundred forty-two million, three hundred twenty-four thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 121 132 165 180 198 220 242 264 330 360 363 396 440 484 495 605 660 726 792 968 990 1089 1210 1320 1452 1815 1980 2178 2420 2904 3630 3960 4356 4840 5445 5563 7260 8712 10890 11126 14520 16689 21780 22252 27815 33378 43560 44504 50067 55630 61193 66756 83445 100134 111260 122386 133512 166890 183579 200268 222520 244772 250335 305965 333780 367158 400536 489544 500670 550737 611930 667560 673123 734316 917895 1001340 1101474 1223860 1346246 1468632 1835790 2002680 2019369 2202948 2447720 2692492 2753685 3365615 3671580 4038738 4405896 5384984 5507370 6058107 6731230 7343160 8077476 10096845 11014740 12116214 13462460 16154952 20193690 22029480 24232428 26924920 30290535 40387380 48464856 60581070 80774760 121162140 242324280