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434412244 = 22731312417
BaseRepresentation
bin11001111001001…
…001101011010100
31010021102102120101
4121321021223110
51342202142434
6111034543444
713523305000
oct3171115324
91107372511
10434412244
1120323a392
12101597b84
136bccc986
14419a1700
152820eb14
hex19e49ad4

434412244 has 48 divisors (see below), whose sum is σ = 893692800. Its totient is φ = 184679040.

The previous prime is 434412241. The next prime is 434412283. The reversal of 434412244 is 442214434.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434412241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 178524 + ... + 180940.

It is an arithmetic number, because the mean of its divisors is an integer number (18618600).

Almost surely, 2434412244 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 434412244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446846400).

434412244 is an abundant number, since it is smaller than the sum of its proper divisors (459280556).

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

434412244 is a wasteful number, since it uses less digits than its factorization.

434412244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2573 (or 2557 counting only the distinct ones).

The product of its digits is 12288, while the sum is 28.

The square root of 434412244 is about 20842.5584801866. The cubic root of 434412244 is about 757.3570732456.

Adding to 434412244 its reverse (442214434), we get a palindrome (876626678).

The spelling of 434412244 in words is "four hundred thirty-four million, four hundred twelve thousand, two hundred forty-four".

Divisors: 1 2 4 7 14 28 49 98 131 196 262 343 524 686 917 1372 1834 2417 3668 4834 6419 9668 12838 16919 25676 33838 44933 67676 89866 118433 179732 236866 316627 473732 633254 829031 1266508 1658062 2216389 3316124 4432778 8865556 15514723 31029446 62058892 108603061 217206122 434412244