Search a number
-
+
434445312 = 2103789227
BaseRepresentation
bin11001111001010…
…001110000000000
31010021111002221010
4121321101300000
51342204222222
6111035400520
713523503260
oct3171216000
91107432833
10434445312
11203262214
121015b3140
136c011a42
14419ad7a0
152821980c
hex19e51c00

434445312 has 176 divisors, whose sum is σ = 1344142080. Its totient is φ = 122191872.

The previous prime is 434445301. The next prime is 434445313. The reversal of 434445312 is 213544434.

It is a self number, because there is not a number n which added to its sum of digits gives 434445312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434445313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1913743 + ... + 1913969.

Almost surely, 2434445312 is an apocalyptic number.

434445312 is a gapful number since it is divisible by the number (42) 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 434445312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672071040).

434445312 is an abundant number, since it is smaller than the sum of its proper divisors (909696768).

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

434445312 is a wasteful number, since it uses less digits than its factorization.

434445312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 328 counting only the distinct ones).

The product of its digits is 23040, while the sum is 30.

The square root of 434445312 is about 20843.3517458205. The cubic root of 434445312 is about 757.3762897453.

Adding to 434445312 its reverse (213544434), we get a palindrome (647989746).

The spelling of 434445312 in words is "four hundred thirty-four million, four hundred forty-five thousand, three hundred twelve".