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674271024 = 24374742697
BaseRepresentation
bin101000001100001…
…000111100110000
31201222202111221220
4220030020330300
52340103133044
6150523545040
722465131510
oct5014107460
91658674856
10674271024
11316676889
1216998b180
13a990144b
146579b840
153e2de019
hex28308f30

674271024 has 80 divisors (see below), whose sum is σ = 2033107968. Its totient is φ = 188545536.

The previous prime is 674271023. The next prime is 674271029. The reversal of 674271024 is 420172476.

It is not an unprimeable number, because it can be changed into a prime (674271023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5557 + ... + 37140.

Almost surely, 2674271024 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 674271024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1016553984).

674271024 is an abundant number, since it is smaller than the sum of its proper divisors (1358836944).

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

674271024 is a wasteful number, since it uses less digits than its factorization.

674271024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42762 (or 42756 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 674271024 is about 25966.7291740797. The cubic root of 674271024 is about 876.8894241981.

The spelling of 674271024 in words is "six hundred seventy-four million, two hundred seventy-one thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 47 48 56 84 94 112 141 168 188 282 329 336 376 564 658 752 987 1128 1316 1974 2256 2632 3948 5264 7896 15792 42697 85394 128091 170788 256182 298879 341576 512364 597758 683152 896637 1024728 1195516 1793274 2006759 2049456 2391032 3586548 4013518 4782064 6020277 7173096 8027036 12040554 14047313 14346192 16054072 24081108 28094626 32108144 42141939 48162216 56189252 84283878 96324432 112378504 168567756 224757008 337135512 674271024