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420344344 = 23721676421
BaseRepresentation
bin11001000011011…
…111001000011000
31002021221201001001
4121003133020120
51330102004334
6105413234344
713262603500
oct3103371030
91067851031
10420344344
111a6300a22
12b89329b4
1369115684
143db7ca00
1526d81714
hex190df218

420344344 has 48 divisors (see below), whose sum is σ = 922456080. Its totient is φ = 179040960.

The previous prime is 420344321. The next prime is 420344369. The reversal of 420344344 is 443443024.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 62254 + ... + 68674.

It is an arithmetic number, because the mean of its divisors is an integer number (19217835).

Almost surely, 2420344344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420344344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461228040).

420344344 is an abundant number, since it is smaller than the sum of its proper divisors (502111736).

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

420344344 is a wasteful number, since it uses less digits than its factorization.

420344344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6608 (or 6597 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

The square root of 420344344 is about 20502.3009440404. The cubic root of 420344344 is about 749.0918453767.

Adding to 420344344 its reverse (443443024), we get a palindrome (863787368).

The spelling of 420344344 in words is "four hundred twenty million, three hundred forty-four thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 28 49 56 98 167 196 334 392 668 1169 1336 2338 4676 6421 8183 9352 12842 16366 25684 32732 44947 51368 65464 89894 179788 314629 359576 629258 1072307 1258516 2144614 2517032 4289228 7506149 8578456 15012298 30024596 52543043 60049192 105086086 210172172 420344344