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643434304 = 2656917669
BaseRepresentation
bin100110010110100…
…000011101000000
31122211201211221011
4212112200131000
52304204344204
6143503010304
721642046522
oct4626403500
91584654834
10643434304
11300224797
1215b599994
13a33c5676
1461651a12
153b74c304
hex265a0740

643434304 has 28 divisors (see below), whose sum is σ = 1279131300. Its totient is φ = 321133568.

The previous prime is 643434293. The next prime is 643434331. The reversal of 643434304 is 403434346.

It can be written as a sum of positive squares in 2 ways, for example, as 116640000 + 526794304 = 10800^2 + 22952^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 27582 + ... + 45250.

Almost surely, 2643434304 is an apocalyptic number.

643434304 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

643434304 is a deficient number, since it is larger than the sum of its proper divisors (635696996).

643434304 is a wasteful number, since it uses less digits than its factorization.

643434304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18250 (or 18240 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 31.

The square root of 643434304 is about 25366.0068595749. The cubic root of 643434304 is about 863.3125819347.

The spelling of 643434304 in words is "six hundred forty-three million, four hundred thirty-four thousand, three hundred four".

Divisors: 1 2 4 8 16 32 64 569 1138 2276 4552 9104 17669 18208 35338 36416 70676 141352 282704 565408 1130816 10053661 20107322 40214644 80429288 160858576 321717152 643434304