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534345344 = 27133171013
BaseRepresentation
bin11111110110010…
…111011010000000
31101020110120000022
4133312113122000
52043243022334
6125004513012
716145601101
oct3766273200
91336416008
10534345344
11254695625
1212ab4b768
138691bba0
1450d763a8
1531d9e82e
hex1fd97680

534345344 has 64 divisors (see below), whose sum is σ = 1151153640. Its totient is φ = 245600256.

The previous prime is 534345289. The next prime is 534345373. The reversal of 534345344 is 443543435.

It can be written as a sum of positive squares in 4 ways, for example, as 59105344 + 475240000 = 7688^2 + 21800^2 .

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

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, 526982 + ... + 527994.

Almost surely, 2534345344 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 534345344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575576820).

534345344 is an abundant number, since it is smaller than the sum of its proper divisors (616808296).

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

534345344 is a wasteful number, since it uses less digits than its factorization.

534345344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1357 (or 1345 counting only the distinct ones).

The product of its digits is 172800, while the sum is 35.

The square root of 534345344 is about 23115.9110571052. The cubic root of 534345344 is about 811.4728797562.

Adding to 534345344 its reverse (443543435), we get a palindrome (977888779).

The spelling of 534345344 in words is "five hundred thirty-four million, three hundred forty-five thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 317 416 634 832 1013 1268 1664 2026 2536 4052 4121 5072 8104 8242 10144 13169 16208 16484 20288 26338 32416 32968 40576 52676 64832 65936 105352 129664 131872 210704 263744 321121 421408 527488 642242 842816 1284484 1685632 2568968 4174573 5137936 8349146 10275872 16698292 20551744 33396584 41103488 66793168 133586336 267172672 534345344