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643384141 = 6175713933
BaseRepresentation
bin100110010110010…
…100001101001101
31122211122022010021
4212112110031031
52304201243031
6143501542141
721641450341
oct4626241515
91584568107
10643384141
113001a0034
1215b574951
13a33a889a
146163b621
153b73c511
hex2659434d

643384141 has 8 divisors (see below), whose sum is σ = 654842264. Its totient is φ = 631955520.

The previous prime is 643384123. The next prime is 643384237. The reversal of 643384141 is 141483346.

It can be written as a sum of positive squares in 4 ways, for example, as 157402116 + 485982025 = 12546^2 + 22045^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 643384141 - 213 = 643375949 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 643384097 and 643384106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (643354141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39211 + ... + 53143.

It is an arithmetic number, because the mean of its divisors is an integer number (81855283).

Almost surely, 2643384141 is an apocalyptic number.

643384141 is a gapful number since it is divisible by the number (61) formed by its first and last digit.

643384141 is the 14645-th hex number.

It is an amenable number.

643384141 is a deficient number, since it is larger than the sum of its proper divisors (11458123).

643384141 is a wasteful number, since it uses less digits than its factorization.

643384141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14751.

The product of its digits is 27648, while the sum is 34.

The square root of 643384141 is about 25365.0180563705. The cubic root of 643384141 is about 863.2901463500.

The spelling of 643384141 in words is "six hundred forty-three million, three hundred eighty-four thousand, one hundred forty-one".

Divisors: 1 61 757 13933 46177 849913 10547281 643384141