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40224321 = 3241671627
BaseRepresentation
bin1001100101110…
…0011001000001
32210200121101200
42121130121001
540244134241
63554051413
7665621034
oct231343101
983617350
1040224321
1120784145
1211579b69
138444997
1454b101b
1537e84b6
hex265c641

40224321 has 24 divisors (see below), whose sum is σ = 60444384. Its totient is φ = 25755840.

The previous prime is 40224319. The next prime is 40224347. The reversal of 40224321 is 12342204.

40224321 is a `hidden beast` number, since 402 + 243 + 21 = 666.

It is not a de Polignac number, because 40224321 - 21 = 40224319 is a prime.

It is a super-2 number, since 2×402243212 = 3235991999822082, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40224294 and 40224303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40224521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23910 + ... + 25536.

It is an arithmetic number, because the mean of its divisors is an integer number (2518516).

Almost surely, 240224321 is an apocalyptic number.

40224321 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

40224321 is a deficient number, since it is larger than the sum of its proper divisors (20220063).

40224321 is a wasteful number, since it uses less digits than its factorization.

40224321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1741 (or 1738 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 40224321 is about 6342.2646586216. The cubic root of 40224321 is about 342.6333038210.

Adding to 40224321 its reverse (12342204), we get a palindrome (52566525).

The spelling of 40224321 in words is "forty million, two hundred twenty-four thousand, three hundred twenty-one".

Divisors: 1 3 9 41 67 123 201 369 603 1627 2747 4881 8241 14643 24723 66707 109009 200121 327027 600363 981081 4469369 13408107 40224321