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130403340 = 223251913793
BaseRepresentation
bin1111100010111…
…00110000001100
3100002101011202100
413301130300030
5231340401330
620534555100
73142260444
oct761346014
9302334670
10130403340
1167677a61
1237808a90
132102a252
1413467124
15b6ad060
hex7c5cc0c

130403340 has 72 divisors (see below), whose sum is σ = 397732608. Its totient is φ = 34583040.

The previous prime is 130403323. The next prime is 130403341. The reversal of 130403340 is 43304031.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (130403341) 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 23 ways as a sum of consecutive naturals, for example, 32484 + ... + 36276.

It is an arithmetic number, because the mean of its divisors is an integer number (5524064).

Almost surely, 2130403340 is an apocalyptic number.

130403340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130403340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198866304).

130403340 is an abundant number, since it is smaller than the sum of its proper divisors (267329268).

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

130403340 is a wasteful number, since it uses less digits than its factorization.

130403340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3999 (or 3994 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 130403340 is about 11419.4281818312. The cubic root of 130403340 is about 507.1030683400.

Adding to 130403340 its reverse (43304031), we get a palindrome (173707371).

The spelling of 130403340 in words is "one hundred thirty million, four hundred three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 191 382 573 764 955 1146 1719 1910 2292 2865 3438 3793 3820 5730 6876 7586 8595 11379 11460 15172 17190 18965 22758 34137 34380 37930 45516 56895 68274 75860 113790 136548 170685 227580 341370 682740 724463 1448926 2173389 2897852 3622315 4346778 6520167 7244630 8693556 10866945 13040334 14489260 21733890 26080668 32600835 43467780 65201670 130403340