Search a number
-
+
1674 = 23331
BaseRepresentation
bin11010001010
32022000
4122022
523144
611430
74611
oct3212
92260
101674
111292
12b76
139ba
14878
15769
hex68a

1674 has 16 divisors (see below), whose sum is σ = 3840. Its totient is φ = 540.

The previous prime is 1669. The next prime is 1693. The reversal of 1674 is 4761.

1674 is nontrivially palindromic in base 14.

1674 is an esthetic number in base 8 and base 14, because in such bases its adjacent digits differ by 1.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an alternating number because its digits alternate between odd and even.

1674 is an undulating number in base 14.

Its product of digits (168) is a multiple of the sum of its prime factors (42).

It is a plaindrome in base 16.

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39 + ... + 69.

It is an arithmetic number, because the mean of its divisors is an integer number (240).

21674 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1674, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1920).

1674 is an abundant number, since it is smaller than the sum of its proper divisors (2166).

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

1674 is a wasteful number, since it uses less digits than its factorization.

1674 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42 (or 36 counting only the distinct ones).

The product of its digits is 168, while the sum is 18.

The square root of 1674 is about 40.9145450910. The cubic root of 1674 is about 11.8736748290.

It can be divided in two parts, 167 and 4, that added together give a palindrome (171).

The spelling of 1674 in words is "one thousand, six hundred seventy-four".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 186 279 558 837 1674