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3429000040 = 23585725001
BaseRepresentation
bin1100110001100010…
…0110001101101000
322211222021020202111
43030120212031220
524010311000130
61324131212104
7150655006444
oct31430461550
98758236674
103429000040
1114aa643534
127b8447034
1342853a90b
14247599824
1515108502a
hexcc626368

3429000040 has 16 divisors (see below), whose sum is σ = 7715250180. Its totient is φ = 1371600000.

The previous prime is 3429000017. The next prime is 3429000061. The reversal of 3429000040 is 400009243.

It can be written as a sum of positive squares in 2 ways, for example, as 3190668196 + 238331844 = 56486^2 + 15438^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3428999975 and 3429000020.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 42862461 + ... + 42862540.

Almost surely, 23429000040 is an apocalyptic number.

It is an amenable number.

3429000040 is an abundant number, since it is smaller than the sum of its proper divisors (4286250140).

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

3429000040 is a wasteful number, since it uses less digits than its factorization.

3429000040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85725012 (or 85725008 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 3429000040 is about 58557.6642293731. The cubic root of 3429000040 is about 1507.9577144576.

Adding to 3429000040 its reverse (400009243), we get a palindrome (3829009283).

The spelling of 3429000040 in words is "three billion, four hundred twenty-nine million, forty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 40 85725001 171450002 342900004 428625005 685800008 857250010 1714500020 3429000040