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305930196 = 223511133171
BaseRepresentation
bin10010001111000…
…001111111010100
3210022122212100000
4102033001333110
51111304231241
650205051300
710403235525
oct2217017724
9708585300
10305930196
11147764980
1286556b30
134b4c60b0
142c8b884c
151bcd0eb6
hex123c1fd4

305930196 has 288 divisors, whose sum is σ = 986259456. Its totient is φ = 81648000.

The previous prime is 305930167. The next prime is 305930197. The reversal of 305930196 is 691039503.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 305930196.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305930197) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4308841 + ... + 4308911.

It is an arithmetic number, because the mean of its divisors is an integer number (3424512).

Almost surely, 2305930196 is an apocalyptic number.

305930196 is a gapful number since it is divisible by the number (36) 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 305930196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493129728).

305930196 is an abundant number, since it is smaller than the sum of its proper divisors (680329260).

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

305930196 is a wasteful number, since it uses less digits than its factorization.

305930196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 36.

The square root of 305930196 is about 17490.8603561975. The cubic root of 305930196 is about 673.8151659105.

Adding to 305930196 its reverse (691039503), we get a palindrome (996969699).

The spelling of 305930196 in words is "three hundred five million, nine hundred thirty thousand, one hundred ninety-six".