Search a number
-
+
242886320 = 24521114389
BaseRepresentation
bin11100111101000…
…10011010110000
3121221000220101122
432132202122300
5444134330240
640033521412
76006333245
oct1636423260
9557026348
10242886320
111151150a6
1269413268
133b421821
14243875cc
15164cb4b5
hexe7a26b0

242886320 has 40 divisors (see below), whose sum is σ = 567426480. Its totient is φ = 96687360.

The previous prime is 242886313. The next prime is 242886349. The reversal of 242886320 is 23688242.

242886320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

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, 9686 + ... + 24074.

It is an arithmetic number, because the mean of its divisors is an integer number (14185662).

Almost surely, 2242886320 is an apocalyptic number.

242886320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242886320 is an abundant number, since it is smaller than the sum of its proper divisors (324540160).

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

242886320 is a wasteful number, since it uses less digits than its factorization.

242886320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14613 (or 14607 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 35.

The square root of 242886320 is about 15584.8105538694. The cubic root of 242886320 is about 623.9278214782.

The spelling of 242886320 in words is "two hundred forty-two million, eight hundred eighty-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 211 422 844 1055 1688 2110 3376 4220 8440 14389 16880 28778 57556 71945 115112 143890 230224 287780 575560 1151120 3036079 6072158 12144316 15180395 24288632 30360790 48577264 60721580 121443160 242886320