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424304541 = 33107227647
BaseRepresentation
bin11001010010100…
…101111110011101
31002120101220102000
4121102211332131
51332110221131
6110034152513
713341346323
oct3122457635
91076356360
10424304541
111a8566311
12ba122739
1369ba109b
14404cdd13
15273b4ce6
hex194a5f9d

424304541 has 32 divisors (see below), whose sum is σ = 638254080. Its totient is φ = 278560368.

The previous prime is 424304537. The next prime is 424304609. The reversal of 424304541 is 145403424.

It is a happy number.

It is not a de Polignac number, because 424304541 - 22 = 424304537 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424324541) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 655480 + ... + 656126.

It is an arithmetic number, because the mean of its divisors is an integer number (19945440).

Almost surely, 2424304541 is an apocalyptic number.

It is an amenable number.

424304541 is a deficient number, since it is larger than the sum of its proper divisors (213949539).

424304541 is a wasteful number, since it uses less digits than its factorization.

424304541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 424304541 is about 20598.6538637844. The cubic root of 424304541 is about 751.4369730529.

Adding to 424304541 its reverse (145403424), we get a palindrome (569707965).

It can be divided in two parts, 42430 and 4541, that added together give a triangular number (46971 = T306).

The spelling of 424304541 in words is "four hundred twenty-four million, three hundred four thousand, five hundred forty-one".

Divisors: 1 3 9 27 107 227 321 647 681 963 1941 2043 2889 5823 6129 17469 24289 69229 72867 146869 207687 218601 440607 623061 655803 1321821 1869183 3965463 15714983 47144949 141434847 424304541