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434430256 = 241323711279
BaseRepresentation
bin11001111001001…
…110000100110000
31010021110100021111
4121321032010300
51342203232011
6111035203104
713523411341
oct3171160460
91107410244
10434430256
11203251977
121015a6494
136c007c30
14419a80c8
1528215121
hex19e4e130

434430256 has 80 divisors (see below), whose sum is σ = 959938560. Its totient is φ = 188939520.

The previous prime is 434430251. The next prime is 434430277. The reversal of 434430256 is 652034434.

It is not an unprimeable number, because it can be changed into a prime (434430251) by changing a digit.

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, 339025 + ... + 340303.

It is an arithmetic number, because the mean of its divisors is an integer number (11999232).

Almost surely, 2434430256 is an apocalyptic number.

434430256 is a gapful number since it is divisible by the number (46) 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 434430256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479969280).

434430256 is an abundant number, since it is smaller than the sum of its proper divisors (525508304).

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

434430256 is a wasteful number, since it uses less digits than its factorization.

434430256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1394 (or 1388 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 31.

The square root of 434430256 is about 20842.9905723723. The cubic root of 434430256 is about 757.3675405128.

The spelling of 434430256 in words is "four hundred thirty-four million, four hundred thirty thousand, two hundred fifty-six".

Divisors: 1 2 4 8 13 16 23 26 46 52 71 92 104 142 184 208 284 299 368 568 598 923 1136 1196 1279 1633 1846 2392 2558 3266 3692 4784 5116 6532 7384 10232 13064 14768 16627 20464 21229 26128 29417 33254 42458 58834 66508 84916 90809 117668 133016 169832 181618 235336 266032 339664 363236 382421 470672 726472 764842 1180517 1452944 1529684 2088607 2361034 3059368 4177214 4722068 6118736 8354428 9444136 16708856 18888272 27151891 33417712 54303782 108607564 217215128 434430256