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434320304 = 24112263853
BaseRepresentation
bin11001111000110…
…011001110110000
31010021020202110012
4121320303032300
51342141222204
6111032554052
713522442645
oct3170631660
91107222405
10434320304
11203187300
12101552928
136bc99b82
1441979dcc
15281e276e
hex19e333b0

434320304 has 60 divisors (see below), whose sum is σ = 929555088. Its totient is φ = 196437120.

The previous prime is 434320303. The next prime is 434320309. The reversal of 434320304 is 403023434.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 434320304.

It is not an unprimeable number, because it can be changed into a prime (434320303) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 508742 + ... + 509594.

Almost surely, 2434320304 is an apocalyptic number.

434320304 is a gapful number since it is divisible by the number (44) 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 434320304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464777544).

434320304 is an abundant number, since it is smaller than the sum of its proper divisors (495234784).

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

434320304 is a wasteful number, since it uses less digits than its factorization.

434320304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 23.

The square root of 434320304 is about 20840.3527801235. The cubic root of 434320304 is about 757.3036398820.

Adding to 434320304 its reverse (403023434), we get a palindrome (837343738).

The spelling of 434320304 in words is "four hundred thirty-four million, three hundred twenty thousand, three hundred four".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 263 484 526 853 968 1052 1706 1936 2104 2893 3412 4208 5786 6824 9383 11572 13648 18766 23144 31823 37532 46288 63646 75064 103213 127292 150128 206426 224339 254584 412852 448678 509168 825704 897356 1651408 1794712 2467729 3589424 4935458 9870916 19741832 27145019 39483664 54290038 108580076 217160152 434320304