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412301300 = 225219720929
BaseRepresentation
bin11000100100110…
…011011111110100
31001201211002001112
4120210303133310
51321022120200
6104525014152
713134334415
oct3044633764
91051732045
10412301300
111a1808084
12b60b4358
136755a788
143ca8780c
15262e3535
hex189337f4

412301300 has 36 divisors (see below), whose sum is σ = 899278380. Its totient is φ = 164075520.

The previous prime is 412301293. The next prime is 412301303. The reversal of 412301300 is 3103214.

It can be written as a sum of positive squares in 6 ways, for example, as 17007376 + 395293924 = 4124^2 + 19882^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412301303) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9236 + ... + 30164.

It is an arithmetic number, because the mean of its divisors is an integer number (24979955).

Almost surely, 2412301300 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 412301300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449639190).

412301300 is an abundant number, since it is smaller than the sum of its proper divisors (486977080).

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

412301300 is a wasteful number, since it uses less digits than its factorization.

412301300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21140 (or 21133 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 412301300 is about 20305.2037665225. The cubic root of 412301300 is about 744.2832317595.

Adding to 412301300 its reverse (3103214), we get a palindrome (415404514).

The spelling of 412301300 in words is "four hundred twelve million, three hundred one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 197 394 788 985 1970 3940 4925 9850 19700 20929 41858 83716 104645 209290 418580 523225 1046450 2092900 4123013 8246026 16492052 20615065 41230130 82460260 103075325 206150650 412301300