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6434994384 = 2432721331273
BaseRepresentation
bin1011111111000111…
…00011100011010000
3121121110120120210100
411333203203203100
5101134324310014
62542312132400
7315315356400
oct57743434320
917543516710
106434994384
112802428585
1212b7097100
137b72406b0
144508c2800
15279e10009
hex17f8e38d0

6434994384 has 540 divisors, whose sum is σ = 23631370308. Its totient is φ = 1619896320.

The previous prime is 6434994373. The next prime is 6434994409. The reversal of 6434994384 is 4834994346.

6434994384 is a `hidden beast` number, since 6 + 434 + 99 + 43 + 84 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2196984384 + 4238010000 = 46872^2 + 65100^2 .

It is a super-2 number, since 2×64349943842 = 82818305444223078912, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 6434994384.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 88150572 + ... + 88150644.

Almost surely, 26434994384 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 6434994384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11815685154).

6434994384 is an abundant number, since it is smaller than the sum of its proper divisors (17196375924).

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

6434994384 is a wasteful number, since it uses less digits than its factorization.

6434994384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 129 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 54.

The square root of 6434994384 is about 80218.4167383027. The cubic root of 6434994384 is about 1860.0133332378.

The spelling of 6434994384 in words is "six billion, four hundred thirty-four million, nine hundred ninety-four thousand, three hundred eighty-four".