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534384256 = 2771735083
BaseRepresentation
bin11111110110100…
…000111010000000
31101020112112101111
4133312200322000
52043300244011
6125005413104
716146122410
oct3766407200
91336475344
10534384256
1125471188a
1212ab6a194
1386933803
1450d86640
1531dab121
hex1fda0e80

534384256 has 64 divisors (see below), whose sum is σ = 1288284480. Its totient is φ = 215543808.

The previous prime is 534384251. The next prime is 534384259. The reversal of 534384256 is 652483435.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (534384251) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2310 + ... + 32773.

It is an arithmetic number, because the mean of its divisors is an integer number (20129445).

Almost surely, 2534384256 is an apocalyptic number.

534384256 is a gapful number since it is divisible by the number (56) 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 534384256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644142240).

534384256 is an abundant number, since it is smaller than the sum of its proper divisors (753900224).

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

534384256 is a wasteful number, since it uses less digits than its factorization.

534384256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35121 (or 35109 counting only the distinct ones).

The product of its digits is 345600, while the sum is 40.

The square root of 534384256 is about 23116.7527131299. The cubic root of 534384256 is about 811.4925769218.

The spelling of 534384256 in words is "five hundred thirty-four million, three hundred eighty-four thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 128 136 224 238 272 448 476 544 896 952 1088 1904 2176 3808 7616 15232 35083 70166 140332 245581 280664 491162 561328 596411 982324 1122656 1192822 1964648 2245312 2385644 3929296 4174877 4490624 4771288 7858592 8349754 9542576 15717184 16699508 19085152 31434368 33399016 38170304 66798032 76340608 133596064 267192128 534384256