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413424300 = 223521378081
BaseRepresentation
bin11000101001000…
…101101010101100
31001210221010112010
4120221011222230
51321314034200
6105005041220
713150022442
oct3051055254
91053833463
10413424300
111a2404883
12b6556210
1367861983
143cc9ab92
1526466150
hex18a45aac

413424300 has 36 divisors (see below), whose sum is σ = 1196175176. Its totient is φ = 110246400.

The previous prime is 413424289. The next prime is 413424311. The reversal of 413424300 is 3424314.

It is an interprime number because it is at equal distance from previous prime (413424289) and next prime (413424311).

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, 688741 + ... + 689340.

Almost surely, 2413424300 is an apocalyptic number.

It is an amenable number.

413424300 is an abundant number, since it is smaller than the sum of its proper divisors (782750876).

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

413424300 is a wasteful number, since it uses less digits than its factorization.

413424300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1378098 (or 1378091 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 413424300 is about 20332.8379721081. The cubic root of 413424300 is about 744.9583629118.

Adding to 413424300 its reverse (3424314), we get a palindrome (416848614).

The spelling of 413424300 in words is "four hundred thirteen million, four hundred twenty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 1378081 2756162 4134243 5512324 6890405 8268486 13780810 16536972 20671215 27561620 34452025 41342430 68904050 82684860 103356075 137808100 206712150 413424300