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434424340 = 225716319037
BaseRepresentation
bin11001111001001…
…100101000010100
31010021110001011101
4121321030220110
51342203034330
6111035115444
713523355160
oct3171145024
91107401141
10434424340
11203248489
121015a2b84
136c00532c
14419a5ca0
15282134ca
hex19e4ca14

434424340 has 48 divisors (see below), whose sum is σ = 1049069952. Its totient is φ = 148023936.

The previous prime is 434424323. The next prime is 434424373. The reversal of 434424340 is 43424434.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 434424299 and 434424308.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 13302 + ... + 32338.

It is an arithmetic number, because the mean of its divisors is an integer number (21855624).

Almost surely, 2434424340 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 434424340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524534976).

434424340 is an abundant number, since it is smaller than the sum of its proper divisors (614645612).

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

434424340 is a wasteful number, since it uses less digits than its factorization.

434424340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19216 (or 19214 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

The square root of 434424340 is about 20842.8486536750. The cubic root of 434424340 is about 757.3641025949.

Adding to 434424340 its reverse (43424434), we get a palindrome (477848774).

The spelling of 434424340 in words is "four hundred thirty-four million, four hundred twenty-four thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 163 326 652 815 1141 1630 2282 3260 4564 5705 11410 19037 22820 38074 76148 95185 133259 190370 266518 380740 533036 666295 1332590 2665180 3103031 6206062 12412124 15515155 21721217 31030310 43442434 62060620 86884868 108606085 217212170 434424340