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3419800040 = 235160153401
BaseRepresentation
bin1100101111010110…
…0000000111101000
322211022221211201202
43023311200013220
524000432100130
61323202103332
7150513551336
oct31365400750
98738854652
103419800040
1114a542a428
127b534ab48
13426669227
14246282b56
15150369145
hexcbd601e8

3419800040 has 32 divisors (see below), whose sum is σ = 7699500360. Its totient is φ = 1367040000.

The previous prime is 3419800009. The next prime is 3419800049. The reversal of 3419800040 is 400089143.

It can be written as a sum of positive squares in 4 ways, for example, as 3177125956 + 242674084 = 56366^2 + 15578^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3419799976 and 3419800012.

It is not an unprimeable number, because it can be changed into a prime (3419800049) 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, 37340 + ... + 90740.

Almost surely, 23419800040 is an apocalyptic number.

It is an amenable number.

3419800040 is an abundant number, since it is smaller than the sum of its proper divisors (4279700320).

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

3419800040 is a wasteful number, since it uses less digits than its factorization.

3419800040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55013 (or 55009 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 3419800040 is about 58479.0564219362. The cubic root of 3419800040 is about 1506.6078907380.

Adding to 3419800040 its reverse (400089143), we get a palindrome (3819889183).

The spelling of 3419800040 in words is "three billion, four hundred nineteen million, eight hundred thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 1601 3202 6404 8005 12808 16010 32020 53401 64040 106802 213604 267005 427208 534010 1068020 2136040 85495001 170990002 341980004 427475005 683960008 854950010 1709900020 3419800040