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464230305 = 335711173771
BaseRepresentation
bin11011101010111…
…001011110100001
31012100112100021000
4123222321132201
51422320332210
6114022022213
714334615060
oct3352713641
91170470230
10464230305
11219056110
1210b577969
137523cbb6
14459241d7
152ab4eac0
hex1bab97a1

464230305 has 256 divisors, whose sum is σ = 1134673920. Its totient is φ = 174182400.

The previous prime is 464230297. The next prime is 464230309. The reversal of 464230305 is 503032464.

It is not a de Polignac number, because 464230305 - 23 = 464230297 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (464230309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6538420 + ... + 6538490.

It is an arithmetic number, because the mean of its divisors is an integer number (4432320).

Almost surely, 2464230305 is an apocalyptic number.

464230305 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

464230305 is an abundant number, since it is smaller than the sum of its proper divisors (670443615).

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

464230305 is a wasteful number, since it uses less digits than its factorization.

464230305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 464230305 is about 21546.0043859645. The cubic root of 464230305 is about 774.3033934690.

Adding to 464230305 its reverse (503032464), we get a palindrome (967262769).

The spelling of 464230305 in words is "four hundred sixty-four million, two hundred thirty thousand, three hundred five".