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130330304 = 2613383409
BaseRepresentation
bin1111100010010…
…10111011000000
3100002020110120022
413301022323000
5231331032204
620533233012
73141534506
oct761127300
9302213508
10130330304
11676280a5
1237792768
1321002c30
1413448676
15b6965be
hex7c4aec0

130330304 has 56 divisors (see below), whose sum is σ = 279928320. Its totient is φ = 59848704.

The previous prime is 130330301. The next prime is 130330309. The reversal of 130330304 is 403033031.

It is not an unprimeable number, because it can be changed into a prime (130330301) 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 7 ways as a sum of consecutive naturals, for example, 318452 + ... + 318860.

It is an arithmetic number, because the mean of its divisors is an integer number (4998720).

Almost surely, 2130330304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130330304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139964160).

130330304 is an abundant number, since it is smaller than the sum of its proper divisors (149598016).

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

130330304 is a wasteful number, since it uses less digits than its factorization.

130330304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 17.

The square root of 130330304 is about 11416.2298505242. The cubic root of 130330304 is about 507.0083782900.

Adding to 130330304 its reverse (403033031), we get a palindrome (533363335).

The spelling of 130330304 in words is "one hundred thirty million, three hundred thirty thousand, three hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 383 409 416 766 818 832 1532 1636 3064 3272 4979 5317 6128 6544 9958 10634 12256 13088 19916 21268 24512 26176 39832 42536 79664 85072 156647 159328 170144 313294 318656 340288 626588 1253176 2036411 2506352 4072822 5012704 8145644 10025408 16291288 32582576 65165152 130330304