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242372240 = 24511275423
BaseRepresentation
bin11100111001001…
…00111010010000
3121220001210012122
432130210322100
5444021402430
640014513412
76002062415
oct1634447220
9556053178
10242372240
111148a3940
1269205868
133b2a1836
142429210c
1516428ee5
hexe724e90

242372240 has 40 divisors (see below), whose sum is σ = 614746368. Its totient is φ = 88135040.

The previous prime is 242372171. The next prime is 242372293. The reversal of 242372240 is 42273242.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 136832 + ... + 138591.

Almost surely, 2242372240 is an apocalyptic number.

242372240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242372240 is an abundant number, since it is smaller than the sum of its proper divisors (372374128).

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

242372240 is a wasteful number, since it uses less digits than its factorization.

242372240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275447 (or 275441 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 26.

The square root of 242372240 is about 15568.3088355801. The cubic root of 242372240 is about 623.4873199656.

The spelling of 242372240 in words is "two hundred forty-two million, three hundred seventy-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 275423 550846 1101692 1377115 2203384 2754230 3029653 4406768 5508460 6059306 11016920 12118612 15148265 22033840 24237224 30296530 48474448 60593060 121186120 242372240