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434144424 = 23375095077
BaseRepresentation
bin11001111000001…
…000010010101000
31010020220211012010
4121320020102220
51342120110144
6111025115520
713521111120
oct3170102250
91106824163
10434144424
1120307714a
12101488ba0
136bc37abc
1441931c80
15281aa5b9
hex19e084a8

434144424 has 64 divisors (see below), whose sum is σ = 1243094400. Its totient is φ = 123773184.

The previous prime is 434144393. The next prime is 434144441. The reversal of 434144424 is 424441434.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 434144391 and 434144400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82974 + ... + 88050.

It is an arithmetic number, because the mean of its divisors is an integer number (19423350).

Almost surely, 2434144424 is an apocalyptic number.

It is an amenable number.

434144424 is an abundant number, since it is smaller than the sum of its proper divisors (808949976).

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

434144424 is a wasteful number, since it uses less digits than its factorization.

434144424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5602 (or 5598 counting only the distinct ones).

The product of its digits is 24576, while the sum is 30.

The square root of 434144424 is about 20836.1326545979. The cubic root of 434144424 is about 757.2014015522.

Adding to 434144424 its reverse (424441434), we get a palindrome (858585858).

The spelling of 434144424 in words is "four hundred thirty-four million, one hundred forty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 509 1018 1527 2036 3054 3563 4072 5077 6108 7126 10154 10689 12216 14252 15231 20308 21378 28504 30462 35539 40616 42756 60924 71078 85512 106617 121848 142156 213234 284312 426468 852936 2584193 5168386 7752579 10336772 15505158 18089351 20673544 31010316 36178702 54268053 62020632 72357404 108536106 144714808 217072212 434144424