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420300440 = 23572214439
BaseRepresentation
bin11001000011010…
…100011010011000
31002021212110210222
4121003110122120
51330044103230
6105412255212
713262331500
oct3103243230
91067773728
10420300440
111a6280a3a
12b8911508
13690cb6b1
143db6aa00
1526d736e5
hex190d4698

420300440 has 48 divisors (see below), whose sum is σ = 1100077200. Its totient is φ = 144102336.

The previous prime is 420300409. The next prime is 420300457. The reversal of 420300440 is 44003024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 105260 + ... + 109179.

It is an arithmetic number, because the mean of its divisors is an integer number (22918275).

Almost surely, 2420300440 is an apocalyptic number.

420300440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420300440 is an abundant number, since it is smaller than the sum of its proper divisors (679776760).

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

420300440 is a wasteful number, since it uses less digits than its factorization.

420300440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214464 (or 214453 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 420300440 is about 20501.2302069900. The cubic root of 420300440 is about 749.0657641618.

Adding to 420300440 its reverse (44003024), we get a palindrome (464303464).

The spelling of 420300440 in words is "four hundred twenty million, three hundred thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 214439 428878 857756 1072195 1501073 1715512 2144390 3002146 4288780 6004292 7505365 8577560 10507511 12008584 15010730 21015022 30021460 42030044 52537555 60042920 84060088 105075110 210150220 420300440