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434331424 = 25711491283
BaseRepresentation
bin11001111000110…
…101111100100000
31010021021022201001
4121320311330200
51342142101144
6111033121344
713522520242
oct3170657440
91107238631
10434331424
1120319469a
12101559254
136bca1c57
1441980092
15281e5bd4
hex19e35f20

434331424 has 48 divisors (see below), whose sum is σ = 873633600. Its totient is φ = 212504320.

The previous prime is 434331413. The next prime is 434331467. The reversal of 434331424 is 424133434.

It is a junction number, because it is equal to n+sod(n) for n = 434331392 and 434331401.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 337887 + ... + 339169.

It is an arithmetic number, because the mean of its divisors is an integer number (18200700).

Almost surely, 2434331424 is an apocalyptic number.

It is an amenable number.

434331424 is an abundant number, since it is smaller than the sum of its proper divisors (439302176).

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

434331424 is a wasteful number, since it uses less digits than its factorization.

434331424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1513 (or 1505 counting only the distinct ones).

The product of its digits is 13824, while the sum is 28.

The square root of 434331424 is about 20840.6195685253. The cubic root of 434331424 is about 757.3101029651.

Adding to 434331424 its reverse (424133434), we get a palindrome (858464858).

The spelling of 434331424 in words is "four hundred thirty-four million, three hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 71 142 149 284 298 568 596 1136 1192 1283 2272 2384 2566 4768 5132 10264 10579 20528 21158 41056 42316 84632 91093 169264 182186 191167 338528 364372 382334 728744 764668 1457488 1529336 2914976 3058672 6117344 13572857 27145714 54291428 108582856 217165712 434331424