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130335408 = 24327314397
BaseRepresentation
bin1111100010011…
…00001010110000
3100002020201120100
413301030022300
5231331213113
620533312400
73141555420
oct761141260
9302221510
10130335408
1167630a15
1237795700
1321005358
141344a480
15b697d73
hex7c4c2b0

130335408 has 240 divisors, whose sum is σ = 444860416. Its totient is φ = 34836480.

The previous prime is 130335407. The next prime is 130335419. The reversal of 130335408 is 804533031.

It is a happy number.

130335408 is a `hidden beast` number, since 1 + 303 + 354 + 0 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (130335407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1343616 + ... + 1343712.

Almost surely, 2130335408 is an apocalyptic number.

130335408 is a gapful number since it is divisible by the number (18) 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 130335408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222430208).

130335408 is an abundant number, since it is smaller than the sum of its proper divisors (314525008).

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

130335408 is a wasteful number, since it uses less digits than its factorization.

130335408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 130335408 is about 11416.4533897354. The cubic root of 130335408 is about 507.0149966970.

Adding to 130335408 its reverse (804533031), we get a palindrome (934868439).

The spelling of 130335408 in words is "one hundred thirty million, three hundred thirty-five thousand, four hundred eight".