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424340240 = 2457372661
BaseRepresentation
bin11001010010101…
…110101100010000
31002120110201101012
4121102232230100
51332112341430
6110035030052
713341555362
oct3122565420
91076421335
10424340240
111a8590115
12ba13b328
1369bb43cc
14404dcd32
15273c0695
hex194aeb10

424340240 has 40 divisors (see below), whose sum is σ = 1000119768. Its totient is φ = 167408640.

The previous prime is 424340227. The next prime is 424340263. The reversal of 424340240 is 42043424.

It can be written as a sum of positive squares in 4 ways, for example, as 2119936 + 422220304 = 1456^2 + 20548^2 .

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, 30491 + ... + 42170.

Almost surely, 2424340240 is an apocalyptic number.

424340240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

424340240 is an abundant number, since it is smaller than the sum of its proper divisors (575779528).

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

424340240 is a wasteful number, since it uses less digits than its factorization.

424340240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72747 (or 72741 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 23.

The square root of 424340240 is about 20599.5203827662. The cubic root of 424340240 is about 751.4580465930.

Adding to 424340240 its reverse (42043424), we get a palindrome (466383664).

The spelling of 424340240 in words is "four hundred twenty-four million, three hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 73 80 146 292 365 584 730 1168 1460 2920 5840 72661 145322 290644 363305 581288 726610 1162576 1453220 2906440 5304253 5812880 10608506 21217012 26521265 42434024 53042530 84868048 106085060 212170120 424340240