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420302232 = 23327833933
BaseRepresentation
bin11001000011010…
…100110110011000
31002021212120021100
4121003110312120
51330044132412
6105412311400
713262336640
oct3103246630
91067776240
10420302232
111a6282319
12b8912560
13690cc45c
143db6b520
1526d73edc
hex190d4d98

420302232 has 48 divisors (see below), whose sum is σ = 1300937040. Its totient is φ = 120086208.

The previous prime is 420302231. The next prime is 420302263. The reversal of 420302232 is 232203024.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420302231) 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 11 ways as a sum of consecutive naturals, for example, 416463 + ... + 417470.

It is an arithmetic number, because the mean of its divisors is an integer number (27102855).

Almost surely, 2420302232 is an apocalyptic number.

420302232 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

420302232 is an abundant number, since it is smaller than the sum of its proper divisors (880634808).

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

420302232 is a wasteful number, since it uses less digits than its factorization.

420302232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833952 (or 833945 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 420302232 is about 20501.2739116378. The cubic root of 420302232 is about 749.0668287367.

Adding to 420302232 its reverse (232203024), we get a palindrome (652505256).

The spelling of 420302232 in words is "four hundred twenty million, three hundred two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 833933 1667866 2501799 3335732 5003598 5837531 6671464 7505397 10007196 11675062 15010794 17512593 20014392 23350124 30021588 35025186 46700248 52537779 60043176 70050372 105075558 140100744 210151116 420302232