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3430540040 = 23585763501
BaseRepresentation
bin1100110001111001…
…1110001100001000
322212002011111020112
43030132132030020
524011204240130
61324224213452
7151004052314
oct31436361410
98762144215
103430540040
1115004a5564
127b8a6a288
13428959865
1424787ab44
1515128b495
hexcc79e308

3430540040 has 16 divisors (see below), whose sum is σ = 7718715180. Its totient is φ = 1372216000.

The previous prime is 3430540039. The next prime is 3430540051. The reversal of 3430540040 is 400450343.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3102712804 + 327827236 = 55702^2 + 18106^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3430539988 and 3430540015.

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, 42881711 + ... + 42881790.

Almost surely, 23430540040 is an apocalyptic number.

It is an amenable number.

3430540040 is an abundant number, since it is smaller than the sum of its proper divisors (4288175140).

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

3430540040 is a wasteful number, since it uses less digits than its factorization.

3430540040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85763512 (or 85763508 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 23.

The square root of 3430540040 is about 58570.8121849100. The cubic root of 3430540040 is about 1508.1834272300.

Adding to 3430540040 its reverse (400450343), we get a palindrome (3830990383).

The spelling of 3430540040 in words is "three billion, four hundred thirty million, five hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 85763501 171527002 343054004 428817505 686108008 857635010 1715270020 3430540040