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301420200 = 2335217291019
BaseRepresentation
bin10001111101110…
…100111010101000
3210000011201210010
4101331310322220
51104130421300
645524251520
710320013044
oct2175647250
9700151703
10301420200
11145164504
1284b40ba0
134a5a7363
142c063024
151b6dea50
hex11f74ea8

301420200 has 192 divisors, whose sum is σ = 1024488000. Its totient is φ = 72970240.

The previous prime is 301420159. The next prime is 301420201. The reversal of 301420200 is 2024103.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (301420201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 295291 + ... + 296309.

It is an arithmetic number, because the mean of its divisors is an integer number (5335875).

Almost surely, 2301420200 is an apocalyptic number.

301420200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 301420200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512244000).

301420200 is an abundant number, since it is smaller than the sum of its proper divisors (723067800).

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

301420200 is a wasteful number, since it uses less digits than its factorization.

301420200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1084 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 301420200 is about 17361.4573121037. The cubic root of 301420200 is about 670.4876527034.

Adding to 301420200 its reverse (2024103), we get a palindrome (303444303).

The spelling of 301420200 in words is "three hundred one million, four hundred twenty thousand, two hundred".