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434405004 = 223112417297
BaseRepresentation
bin11001111001000…
…111111010001100
31010021102001122020
4121321013322030
51342201430004
6111034450140
713523244615
oct3171077214
91107361566
10434405004
11203234a00
12101593950
136bcc95a7
144199cc0c
152820c8d9
hex19e47e8c

434405004 has 72 divisors (see below), whose sum is σ = 1141465584. Its totient is φ = 128409600.

The previous prime is 434404991. The next prime is 434405017. The reversal of 434405004 is 400504434.

It is an interprime number because it is at equal distance from previous prime (434404991) and next prime (434405017).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55884 + ... + 63180.

Almost surely, 2434405004 is an apocalyptic number.

434405004 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 434405004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570732792).

434405004 is an abundant number, since it is smaller than the sum of its proper divisors (707060580).

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

434405004 is a wasteful number, since it uses less digits than its factorization.

434405004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7367 (or 7354 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 434405004 is about 20842.3847963711. The cubic root of 434405004 is about 757.3528658016.

Adding to 434405004 its reverse (400504434), we get a palindrome (834909438).

The spelling of 434405004 in words is "four hundred thirty-four million, four hundred five thousand, four".

Divisors: 1 2 3 4 6 11 12 22 33 41 44 66 82 121 123 132 164 242 246 363 451 484 492 726 902 1353 1452 1804 2706 4961 5412 7297 9922 14594 14883 19844 21891 29188 29766 43782 59532 80267 87564 160534 240801 299177 321068 481602 598354 882937 897531 963204 1196708 1765874 1795062 2648811 3290947 3531748 3590124 5297622 6581894 9872841 10595244 13163788 19745682 36200417 39491364 72400834 108601251 144801668 217202502 434405004