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420346113 = 311432832
BaseRepresentation
bin11001000011011…
…111100100000001
31002021221210110120
4121003133210001
51330102033423
6105413250453
713262611605
oct3103374401
91067853416
10420346113
111a6302290
12b8933a29
1369116415
143db7d505
1526d81ee3
hex190df901

420346113 has 36 divisors (see below), whose sum is σ = 633594672. Its totient is φ = 245832720.

The previous prime is 420346093. The next prime is 420346117. The reversal of 420346113 is 311643024.

It is not a de Polignac number, because 420346113 - 217 = 420215041 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (420346117) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 5064370 + ... + 5064452.

It is an arithmetic number, because the mean of its divisors is an integer number (17599852).

Almost surely, 2420346113 is an apocalyptic number.

420346113 is a gapful number since it is divisible by the number (43) formed by its first and last digit.

It is an amenable number.

420346113 is a deficient number, since it is larger than the sum of its proper divisors (213248559).

420346113 is an equidigital number, since it uses as much as digits as its factorization.

420346113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 420346113 is about 20502.3440854942. The cubic root of 420346113 is about 749.0928962148.

Adding to 420346113 its reverse (311643024), we get a palindrome (731989137).

The spelling of 420346113 in words is "four hundred twenty million, three hundred forty-six thousand, one hundred thirteen".

Divisors: 1 3 11 33 43 83 129 249 473 913 1419 1849 2739 3569 5547 6889 10707 20339 20667 39259 61017 75779 117777 153467 227337 296227 460401 888681 1688137 3258497 5064411 9775491 12737761 38213283 140115371 420346113