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420313033 = 728577817
BaseRepresentation
bin11001000011010…
…111011111001001
31002021220010002101
4121003113133021
51330100004113
6105412433401
713262413300
oct3103273711
91067803071
10420313033
111a628a448
12b8918861
136910434a
143db71437
1526d772dd
hex190d77c9

420313033 has 6 divisors (see below), whose sum is σ = 488935626. Its totient is φ = 360268272.

The previous prime is 420312983. The next prime is 420313073. The reversal of 420313033 is 330313024.

It can be written as a sum of positive squares in only one way, i.e., 354832569 + 65480464 = 18837^2 + 8092^2 .

It is not a de Polignac number, because 420313033 - 29 = 420312521 is a prime.

It is a super-3 number, since 3×4203130333 (a number of 27 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 420313033.

It is not an unprimeable number, because it can be changed into a prime (420313073) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4288860 + ... + 4288957.

It is an arithmetic number, because the mean of its divisors is an integer number (81489271).

Almost surely, 2420313033 is an apocalyptic number.

It is an amenable number.

420313033 is a deficient number, since it is larger than the sum of its proper divisors (68622593).

420313033 is an equidigital number, since it uses as much as digits as its factorization.

420313033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8577831 (or 8577824 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

The square root of 420313033 is about 20501.5373326002. The cubic root of 420313033 is about 749.0732452317.

Adding to 420313033 its reverse (330313024), we get a palindrome (750626057).

Subtracting from 420313033 its reverse (330313024), we obtain a palindrome (90000009).

The spelling of 420313033 in words is "four hundred twenty million, three hundred thirteen thousand, thirty-three".

Divisors: 1 7 49 8577817 60044719 420313033