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420313424 = 2461430649
BaseRepresentation
bin11001000011010…
…111100101010000
31002021220010121212
4121003113211100
51330100012144
6105412435252
713262414366
oct3103274520
91067803555
10420313424
111a628a773
12b8918b28
136910458b
143db71636
1526d7749e
hex190d7950

420313424 has 20 divisors (see below), whose sum is σ = 827709300. Its totient is φ = 206711040.

The previous prime is 420313409. The next prime is 420313471. The reversal of 420313424 is 424313024.

It can be written as a sum of positive squares in 2 ways, for example, as 60528400 + 359785024 = 7780^2 + 18968^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 420313424.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 214349 + ... + 216300.

It is an arithmetic number, because the mean of its divisors is an integer number (41385465).

Almost surely, 2420313424 is an apocalyptic number.

It is an amenable number.

420313424 is a deficient number, since it is larger than the sum of its proper divisors (407395876).

420313424 is a wasteful number, since it uses less digits than its factorization.

420313424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430718 (or 430712 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 420313424 is about 20501.5468684682. The cubic root of 420313424 is about 749.0734775091.

Adding to 420313424 its reverse (424313024), we get a palindrome (844626448).

The spelling of 420313424 in words is "four hundred twenty million, three hundred thirteen thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 61 122 244 488 976 430649 861298 1722596 3445192 6890384 26269589 52539178 105078356 210156712 420313424