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674000 = 2453337
BaseRepresentation
bin10100100100011010000
31021020112222
42210203100
5133032000
622240212
75505005
oct2444320
91236488
10674000
11420428
12286068
131a7a22
141378ac
15d4a85
hexa48d0

674000 has 40 divisors (see below), whose sum is σ = 1634568. Its totient is φ = 268800.

The previous prime is 673991. The next prime is 674017. The reversal of 674000 is 476.

It can be written as a sum of positive squares in 4 ways, for example, as 71824 + 602176 = 268^2 + 776^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a plaindrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 674000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1832 + ... + 2168.

2674000 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 674000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817284).

674000 is an abundant number, since it is smaller than the sum of its proper divisors (960568).

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

674000 is a wasteful number, since it uses less digits than its factorization.

674000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 674000 is about 820.9750300710. The cubic root of 674000 is about 87.6771919555.

Adding to 674000 its reverse (476), we get a palindrome (674476).

The spelling of 674000 in words is "six hundred seventy-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 337 400 500 674 1000 1348 1685 2000 2696 3370 5392 6740 8425 13480 16850 26960 33700 42125 67400 84250 134800 168500 337000 674000