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242374620 = 22355777001
BaseRepresentation
bin11100111001001…
…01011111011100
3121220001220110210
432130211133130
5444021441440
640014532420
76002102355
oct1634453734
9556056423
10242374620
111148a5704
1269207110
133b2a2947
1424292d2c
1516429a80
hexe7257dc

242374620 has 48 divisors (see below), whose sum is σ = 679922208. Its totient is φ = 64512000.

The previous prime is 242374589. The next prime is 242374631. The reversal of 242374620 is 26473242.

242374620 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31120 + ... + 38120.

It is an arithmetic number, because the mean of its divisors is an integer number (14165046).

Almost surely, 2242374620 is an apocalyptic number.

242374620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242374620 is an abundant number, since it is smaller than the sum of its proper divisors (437547588).

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

242374620 is a wasteful number, since it uses less digits than its factorization.

242374620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7590 (or 7588 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 30.

The square root of 242374620 is about 15568.3852727250. The cubic root of 242374620 is about 623.4893607589.

The spelling of 242374620 in words is "two hundred forty-two million, three hundred seventy-four thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 577 1154 1731 2308 2885 3462 5770 6924 7001 8655 11540 14002 17310 21003 28004 34620 35005 42006 70010 84012 105015 140020 210030 420060 4039577 8079154 12118731 16158308 20197885 24237462 40395770 48474924 60593655 80791540 121187310 242374620