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3430040131 = 7310499533
BaseRepresentation
bin1100110001110010…
…0100001001000011
322212001020002111101
43030130210021003
524011042241011
61324205355231
7150666601000
oct31434441103
98761202441
103430040131
111500193a11
127b8868b17
1342881315b
1424778a8a7
151511dd2c1
hexcc724243

3430040131 has 16 divisors (see below), whose sum is σ = 4004280000. Its totient is φ = 2936923584.

The previous prime is 3430040111. The next prime is 3430040137. The reversal of 3430040131 is 1310400343.

It is a de Polignac number, because none of the positive numbers 2k-3430040131 is a prime.

It is a super-3 number, since 3×34300401313 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

3430040131 is a modest number, since divided by 40131 gives 3430 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 3430040099 and 3430040108.

It is not an unprimeable number, because it can be changed into a prime (3430040137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 355041 + ... + 364573.

It is an arithmetic number, because the mean of its divisors is an integer number (250267500).

Almost surely, 23430040131 is an apocalyptic number.

3430040131 is a deficient number, since it is larger than the sum of its proper divisors (574239869).

3430040131 is an equidigital number, since it uses as much as digits as its factorization.

3430040131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10603 (or 10589 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 3430040131 is about 58566.5444686640. The cubic root of 3430040131 is about 1508.1101646061.

Adding to 3430040131 its reverse (1310400343), we get a palindrome (4740440474).

The spelling of 3430040131 in words is "three billion, four hundred thirty million, forty thousand, one hundred thirty-one".

Divisors: 1 7 49 343 1049 7343 9533 51401 66731 359807 467117 3269819 10000117 70000819 490005733 3430040131