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3431402130 = 2351379111373
BaseRepresentation
bin1100110010000111…
…0000101010010010
322212010210021210210
43030201300222102
524011414332010
61324254504550
7151014302562
oct31441605222
98763707723
103431402130
111500a34232
127b9205156
13428b9c080
14247a22da2
151513abb20
hexcc870a92

3431402130 has 64 divisors (see below), whose sum is σ = 8981199360. Its totient is φ = 833953536.

The previous prime is 3431402087. The next prime is 3431402137. The reversal of 3431402130 is 312041343.

It is a junction number, because it is equal to n+sod(n) for n = 3431402097 and 3431402106.

It is not an unprimeable number, because it can be changed into a prime (3431402137) 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 31 ways as a sum of consecutive naturals, for example, 24877 + ... + 86496.

It is an arithmetic number, because the mean of its divisors is an integer number (140331240).

Almost surely, 23431402130 is an apocalyptic number.

3431402130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3431402130 is an abundant number, since it is smaller than the sum of its proper divisors (5549797230).

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

3431402130 is a wasteful number, since it uses less digits than its factorization.

3431402130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111475.

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 3431402130 is about 58578.1711049432. The cubic root of 3431402130 is about 1508.3097514568.

Adding to 3431402130 its reverse (312041343), we get a palindrome (3743443473).

The spelling of 3431402130 in words is "three billion, four hundred thirty-one million, four hundred two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 79 130 158 195 237 390 395 474 790 1027 1185 2054 2370 3081 5135 6162 10270 15405 30810 111373 222746 334119 556865 668238 1113730 1447849 1670595 2895698 3341190 4343547 7239245 8687094 8798467 14478490 17596934 21717735 26395401 43435470 43992335 52790802 87984670 114380071 131977005 228760142 263954010 343140213 571900355 686280426 1143800710 1715701065 3431402130