Search a number
-
+
371124 = 223213261
BaseRepresentation
bin1011010100110110100
3200212002100
41122212310
543333444
611542100
73103665
oct1324664
9625070
10371124
11233916
1215a930
13ccc00
149936c
1574e69
hex5a9b4

371124 has 54 divisors (see below), whose sum is σ = 1032486. Its totient is φ = 112320.

The previous prime is 371099. The next prime is 371131. The reversal of 371124 is 421173.

It can be written as a sum of positive squares in 3 ways, for example, as 32400 + 338724 = 180^2 + 582^2 .

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

It is a nialpdrome in base 13.

It is a zygodrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 371097 and 371106.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 371124.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6054 + ... + 6114.

2371124 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 371124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516243).

371124 is an abundant number, since it is smaller than the sum of its proper divisors (661362).

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

371124 is a wasteful number, since it uses less digits than its factorization.

371124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 79 counting only the distinct ones).

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

The square root of 371124 is about 609.1994747207. The cubic root of 371124 is about 71.8631660416.

Adding to 371124 its reverse (421173), we get a palindrome (792297).

The spelling of 371124 in words is "three hundred seventy-one thousand, one hundred twenty-four", and thus it is an iban number.

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 61 78 117 122 156 169 183 234 244 338 366 468 507 549 676 732 793 1014 1098 1521 1586 2028 2196 2379 3042 3172 4758 6084 7137 9516 10309 14274 20618 28548 30927 41236 61854 92781 123708 185562 371124