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242594304 = 293433673
BaseRepresentation
bin11100111010110…
…11001000000000
3121220111001211020
432131123020000
5444101004204
640023345440
76004006011
oct1635331000
9556431736
10242594304
11114a35767
12692b2280
133b34b934
142430d008
151646ebd9
hexe75b200

242594304 has 80 divisors (see below), whose sum is σ = 661496352. Its totient is φ = 78962688.

The previous prime is 242594279. The next prime is 242594323. The reversal of 242594304 is 403495242.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64212 + ... + 67884.

Almost surely, 2242594304 is an apocalyptic number.

242594304 is a gapful number since it is divisible by the number (24) 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 242594304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330748176).

242594304 is an abundant number, since it is smaller than the sum of its proper divisors (418902048).

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

242594304 is an equidigital number, since it uses as much as digits as its factorization.

242594304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3737 (or 3721 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 242594304 is about 15575.4391270359. The cubic root of 242594304 is about 623.6776770589.

The spelling of 242594304 in words is "two hundred forty-two million, five hundred ninety-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 172 192 256 258 344 384 512 516 688 768 1032 1376 1536 2064 2752 3673 4128 5504 7346 8256 11008 11019 14692 16512 22016 22038 29384 33024 44076 58768 66048 88152 117536 157939 176304 235072 315878 352608 470144 473817 631756 705216 940288 947634 1263512 1410432 1880576 1895268 2527024 2820864 3790536 5054048 5641728 7581072 10108096 15162144 20216192 30324288 40432384 60648576 80864768 121297152 242594304