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130434444 = 22327517597
BaseRepresentation
bin1111100011001…
…00010110001100
3100002102202102100
413301210112030
5231342400234
620535355100
73142450230
oct761442614
9302382370
10130434444
1167699368
1237822a90
132103b45a
14134745c0
15b6b7399
hex7c6458c

130434444 has 36 divisors (see below), whose sum is σ = 376811344. Its totient is φ = 37266912.

The previous prime is 130434443. The next prime is 130434457. The reversal of 130434444 is 444434031.

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (130434443) 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 11 ways as a sum of consecutive naturals, for example, 258547 + ... + 259050.

Almost surely, 2130434444 is an apocalyptic number.

130434444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

130434444 is an abundant number, since it is smaller than the sum of its proper divisors (246376900).

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

130434444 is a wasteful number, since it uses less digits than its factorization.

130434444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517614 (or 517609 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 130434444 is about 11420.7899901889. The cubic root of 130434444 is about 507.1433834627.

Adding to 130434444 its reverse (444434031), we get a palindrome (574868475).

The spelling of 130434444 in words is "one hundred thirty million, four hundred thirty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 517597 1035194 1552791 2070388 3105582 3623179 4658373 6211164 7246358 9316746 10869537 14492716 18633492 21739074 32608611 43478148 65217222 130434444