1634 is the smallest number (except 1) that is the sum of the fourth powers of its digits: 1634 = 14 + 64+ 34 + 44. The other four-digit numbers that are the sums of the fourth powers of their digits are 8208 and 9474. A number that is the sum of the nth powers of its digits is called a narcissistic number.
1634 and 1635 have the same sum of divisors: 1 + 2 + 19 + 38 + 43 + 86 + 817 + 1634 = 1 + 3 + 5 + 15 + 109 + 327 + 545 + 1635. They also both have the same number of divisors.
1634, 1635, and 1636 are each the product of exactly three primes.
In base 5, 1634 has five distinct digits: 23014.
In the year 1634, the first settlers arrived in St. Mary's City, Md., to form the fourth permanent settlement in British North America.
Source: The Penguin Dictionary of Curious and Interesting Numbers, rev. ed., by David Wells.
In the year 1634, the first settlers arrived in St. Mary's City, Md., to form the fourth permanent settlement in British North America.
Source: The Penguin Dictionary of Curious and Interesting Numbers, rev. ed., by David Wells.
