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421348200 = 233527137717
BaseRepresentation
bin11001000111010…
…100001101101000
31002100211201001220
4121013110031220
51330331120300
6105450542040
713304254260
oct3107241550
91070751056
10421348200
111a6927159
12b9137920
13693a7580
143dd607a0
1526ecdda0
hex191d4368

421348200 has 192 divisors, whose sum is σ = 1607813760. Its totient is φ = 88888320.

The previous prime is 421348171. The next prime is 421348217. The reversal of 421348200 is 2843124.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 47 ways as a sum of consecutive naturals, for example, 50742 + ... + 58458.

It is an arithmetic number, because the mean of its divisors is an integer number (8374030).

Almost surely, 2421348200 is an apocalyptic number.

421348200 is a gapful number since it is divisible by the number (40) 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 421348200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803906880).

421348200 is an abundant number, since it is smaller than the sum of its proper divisors (1186465560).

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

421348200 is a wasteful number, since it uses less digits than its factorization.

421348200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7756 (or 7747 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 421348200 is about 20526.7678897580. The cubic root of 421348200 is about 749.6876921921.

The spelling of 421348200 in words is "four hundred twenty-one million, three hundred forty-eight thousand, two hundred".