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420304014 = 232132314457
BaseRepresentation
bin11001000011010…
…101010010001110
31002021212122201100
4121003111102032
51330044212024
6105412323530
713262345064
oct3103252216
91067778640
10420304014
111a6283699
12b89135a6
1369100200
143db6c034
1526d747c9
hex190d548e

420304014 has 72 divisors (see below), whose sum is σ = 1018135872. Its totient is φ = 125124480.

The previous prime is 420304009. The next prime is 420304021. The reversal of 420304014 is 410403024.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 35 ways as a sum of consecutive naturals, for example, 92074 + ... + 96530.

It is an arithmetic number, because the mean of its divisors is an integer number (14140776).

Almost surely, 2420304014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420304014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509067936).

420304014 is an abundant number, since it is smaller than the sum of its proper divisors (597831858).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

420304014 is a wasteful number, since it uses less digits than its factorization.

420304014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4522 (or 4506 counting only the distinct ones).

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

The square root of 420304014 is about 20501.3173723056. The cubic root of 420304014 is about 749.0678873680.

Adding to 420304014 its reverse (410403024), we get a palindrome (830707038).

The spelling of 420304014 in words is "four hundred twenty million, three hundred four thousand, fourteen".

Divisors: 1 2 3 6 9 13 18 26 31 39 62 78 93 117 169 186 234 279 338 403 507 558 806 1014 1209 1521 2418 3042 3627 4457 5239 7254 8914 10478 13371 15717 26742 31434 40113 47151 57941 80226 94302 115882 138167 173823 276334 347646 414501 521469 753233 829002 1042938 1243503 1506466 1796171 2259699 2487006 3592342 4519398 5388513 6779097 10777026 13558194 16165539 23350223 32331078 46700446 70050669 140101338 210152007 420304014