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242306664 = 23331325681
BaseRepresentation
bin11100111000101…
…00111001101000
3121212221110020220
432130110321220
5444012303124
640013250040
76001400265
oct1634247150
9555843226
10242306664
11114859646
1269193920
133b27aa32
142427626c
1516414879
hexe714e68

242306664 has 32 divisors (see below), whose sum is σ = 625309440. Its totient is φ = 78163200.

The previous prime is 242306663. The next prime is 242306681. The reversal of 242306664 is 466603242.

242306664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (242306663) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 162097 + ... + 163584.

It is an arithmetic number, because the mean of its divisors is an integer number (19540920).

Almost surely, 2242306664 is an apocalyptic number.

242306664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

242306664 is an abundant number, since it is smaller than the sum of its proper divisors (383002776).

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

242306664 is a wasteful number, since it uses less digits than its factorization.

242306664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325721 (or 325717 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

The square root of 242306664 is about 15566.2026197785. The cubic root of 242306664 is about 623.4310848505.

The spelling of 242306664 in words is "two hundred forty-two million, three hundred six thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 744 325681 651362 977043 1302724 1954086 2605448 3908172 7816344 10096111 20192222 30288333 40384444 60576666 80768888 121153332 242306664