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434443044 = 2237231092063
BaseRepresentation
bin11001111001010…
…001001100100100
31010021110222211010
4121321101030210
51342204134134
6111035342220
713523463540
oct3171211444
91107428733
10434443044
11203260542
121015b1970
136c0109b9
14419aca20
1528218ce9
hex19e51324

434443044 has 96 divisors (see below), whose sum is σ = 1220567040. Its totient is φ = 117583488.

The previous prime is 434443033. The next prime is 434443049. The reversal of 434443044 is 440344434.

It is not an unprimeable number, because it can be changed into a prime (434443049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 209557 + ... + 211619.

It is an arithmetic number, because the mean of its divisors is an integer number (12714240).

Almost surely, 2434443044 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 434443044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610283520).

434443044 is an abundant number, since it is smaller than the sum of its proper divisors (786123996).

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

434443044 is a wasteful number, since it uses less digits than its factorization.

434443044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2209 (or 2207 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

The square root of 434443044 is about 20843.2973399124. The cubic root of 434443044 is about 757.3749717947.

Adding to 434443044 its reverse (440344434), we get a palindrome (874787478).

The spelling of 434443044 in words is "four hundred thirty-four million, four hundred forty-three thousand, forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 109 138 161 218 276 322 327 436 483 644 654 763 966 1308 1526 1932 2063 2289 2507 3052 4126 4578 5014 6189 7521 8252 9156 10028 12378 14441 15042 17549 24756 28882 30084 35098 43323 47449 52647 57764 70196 86646 94898 105294 142347 173292 189796 210588 224867 284694 332143 449734 569388 664286 674601 899468 996429 1328572 1349202 1574069 1992858 2698404 3148138 3985716 4722207 5171941 6296276 9444414 10343882 15515823 18888828 20687764 31031646 36203587 62063292 72407174 108610761 144814348 217221522 434443044