Search a number
-
+
397544 = 23731229
BaseRepresentation
bin1100001000011101000
3202012022212
41201003220
5100210134
612304252
73244010
oct1410350
9665285
10397544
11251754
12172088
1310bc44
14a4c40
157cbce
hex610e8

397544 has 32 divisors (see below), whose sum is σ = 883200. Its totient is φ = 164160.

The previous prime is 397543. The next prime is 397547. The reversal of 397544 is 445793.

It is a self number, because there is not a number n which added to its sum of digits gives 397544.

It is not an unprimeable number, because it can be changed into a prime (397541) by changing a digit.

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, 1622 + ... + 1850.

It is an arithmetic number, because the mean of its divisors is an integer number (27600).

397544 is a Friedman number, since it can be written as 9+43^(7-4)*5, using all its digits and the basic arithmetic operations.

2397544 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 397544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441600).

397544 is an abundant number, since it is smaller than the sum of its proper divisors (485656).

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

397544 is a wasteful number, since it uses less digits than its factorization.

397544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 269 counting only the distinct ones).

The product of its digits is 15120, while the sum is 32.

The square root of 397544 is about 630.5109039501. The cubic root of 397544 is about 73.5295205896.

The spelling of 397544 in words is "three hundred ninety-seven thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 14 28 31 56 62 124 217 229 248 434 458 868 916 1603 1736 1832 3206 6412 7099 12824 14198 28396 49693 56792 99386 198772 397544