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434420332344 = 233219730627491
BaseRepresentation
bin1100101001001010111…
…10000011011100111000
31112112022111111102101200
412110211132003130320
524104143101113334
6531323035214200
743246224620115
oct6244536033470
91475274442350
10434420332344
11158266a52559
127023a5a7360
1331c72734bbb
14170516d990c
15b478625799
hex6525783738

434420332344 has 48 divisors (see below), whose sum is σ = 1182527466120. Its totient is φ = 144071712960.

The previous prime is 434420332303. The next prime is 434420332387. The reversal of 434420332344 is 443233024434.

434420332344 is a `hidden beast` number, since 43 + 44 + 203 + 32 + 344 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 434420332299 and 434420332308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15299562 + ... + 15327929.

Almost surely, 2434420332344 is an apocalyptic number.

It is an amenable number.

434420332344 is an abundant number, since it is smaller than the sum of its proper divisors (748107133776).

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

434420332344 is a wasteful number, since it uses less digits than its factorization.

434420332344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30627700 (or 30627693 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 36.

Adding to 434420332344 its reverse (443233024434), we get a palindrome (877653356778).

The spelling of 434420332344 in words is "four hundred thirty-four billion, four hundred twenty million, three hundred thirty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 197 394 591 788 1182 1576 1773 2364 3546 4728 7092 14184 30627491 61254982 91882473 122509964 183764946 245019928 275647419 367529892 551294838 735059784 1102589676 2205179352 6033615727 12067231454 18100847181 24134462908 36201694362 48268925816 54302541543 72403388724 108605083086 144806777448 217210166172 434420332344