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130304232 = 233237411193
BaseRepresentation
bin1111100010001…
…00100011101000
3100002012010210200
413301010203220
5231324213412
620532512200
73141365502
oct761044350
9302163720
10130304232
116760a553
123777b660
1320cc40c6
141343cd72
15b68d9dc
hex7c448e8

130304232 has 96 divisors (see below), whose sum is σ = 371596680. Its totient is φ = 41195520.

The previous prime is 130304231. The next prime is 130304267. The reversal of 130304232 is 232403031.

130304232 is a `hidden beast` number, since 130 + 304 + 232 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 106626276 + 23677956 = 10326^2 + 4866^2 .

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 (130304231) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108628 + ... + 109820.

Almost surely, 2130304232 is an apocalyptic number.

130304232 is a gapful number since it is divisible by the number (12) 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 130304232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185798340).

130304232 is an abundant number, since it is smaller than the sum of its proper divisors (241292448).

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

130304232 is a wasteful number, since it uses less digits than its factorization.

130304232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1283 (or 1276 counting only the distinct ones).

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

The square root of 130304232 is about 11415.0879103054. The cubic root of 130304232 is about 506.9745677753.

Adding to 130304232 its reverse (232403031), we get a palindrome (362707263).

The spelling of 130304232 in words is "one hundred thirty million, three hundred four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 41 72 74 82 111 123 148 164 222 246 296 328 333 369 444 492 666 738 888 984 1193 1332 1476 1517 2386 2664 2952 3034 3579 4551 4772 6068 7158 9102 9544 10737 12136 13653 14316 18204 21474 27306 28632 36408 42948 44141 48913 54612 85896 88282 97826 109224 132423 146739 176564 195652 264846 293478 353128 391304 397269 440217 529692 586956 794538 880434 1059384 1173912 1589076 1760868 1809781 3178152 3521736 3619562 5429343 7239124 10858686 14478248 16288029 21717372 32576058 43434744 65152116 130304232