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301242420 = 223251673569
BaseRepresentation
bin10001111101001…
…001100000110100
3202222211200220200
4101331021200310
51104104224140
645520400500
710315342533
oct2175114064
9688750820
10301242420
11145052986
1284a76130
134a54446b
142c01831a
151b6a7030
hex11f49834

301242420 has 36 divisors (see below), whose sum is σ = 913769220. Its totient is φ = 80331264.

The previous prime is 301242413. The next prime is 301242439. The reversal of 301242420 is 24242103.

301242420 is a `hidden beast` number, since 3 + 0 + 1 + 242 + 420 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 181602576 + 119639844 = 13476^2 + 10938^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 301242393 and 301242402.

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 11 ways as a sum of consecutive naturals, for example, 836605 + ... + 836964.

Almost surely, 2301242420 is an apocalyptic number.

301242420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

301242420 is an abundant number, since it is smaller than the sum of its proper divisors (612526800).

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

301242420 is a wasteful number, since it uses less digits than its factorization.

301242420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1673584 (or 1673579 counting only the distinct ones).

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

The square root of 301242420 is about 17356.3365950306. The cubic root of 301242420 is about 670.3558071519.

Adding to 301242420 its reverse (24242103), we get a palindrome (325484523).

The spelling of 301242420 in words is "three hundred one million, two hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1673569 3347138 5020707 6694276 8367845 10041414 15062121 16735690 20082828 25103535 30124242 33471380 50207070 60248484 75310605 100414140 150621210 301242420