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434330368 = 288320441
BaseRepresentation
bin11001111000110…
…101101100000000
31010021021021020221
4121320311230000
51342142032433
6111033112424
713522514203
oct3170655400
91107237227
10434330368
1120319391a
12101558714
136bca1624
144197d93a
15281e572d
hex19e35b00

434330368 has 36 divisors (see below), whose sum is σ = 877452408. Its totient is φ = 214538240.

The previous prime is 434330339. The next prime is 434330411. The reversal of 434330368 is 863033434.

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 3 ways as a sum of consecutive naturals, for example, 11028 + ... + 31468.

It is an arithmetic number, because the mean of its divisors is an integer number (24373678).

Almost surely, 2434330368 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 434330368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438726204).

434330368 is an abundant number, since it is smaller than the sum of its proper divisors (443122040).

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

434330368 is an equidigital number, since it uses as much as digits as its factorization.

434330368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20540 (or 20526 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 34.

The square root of 434330368 is about 20840.5942333706. The cubic root of 434330368 is about 757.3094892094.

The spelling of 434330368 in words is "four hundred thirty-four million, three hundred thirty thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 83 128 166 256 332 664 1328 2656 5312 10624 20441 21248 40882 81764 163528 327056 654112 1308224 1696603 2616448 3393206 5232896 6786412 13572824 27145648 54291296 108582592 217165184 434330368