Search a number
-
+
3117204 = 22361069
BaseRepresentation
bin1011111001000010010100
312212101000000
423321002110
51244222304
6150451300
735332026
oct13710224
95771000
103117204
11183a002
121063b30
13851acc
145b2016
15418939
hex2f9094

3117204 has 42 divisors (see below), whose sum is σ = 8186570. Its totient is φ = 1038096.

The previous prime is 3117203. The next prime is 3117209. The reversal of 3117204 is 4027113.

It can be written as a sum of positive squares in only one way, i.e., 2624400 + 492804 = 1620^2 + 702^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3117203) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 2382 + ... + 3450.

Almost surely, 23117204 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 3117204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4093285).

3117204 is an abundant number, since it is smaller than the sum of its proper divisors (5069366).

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

3117204 is a wasteful number, since it uses less digits than its factorization.

3117204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1091 (or 1074 counting only the distinct ones).

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

The square root of 3117204 is about 1765.5605342214. The cubic root of 3117204 is about 146.0792089114.

Subtracting 3117204 from its reverse (4027113), we obtain a palindrome (909909).

It can be divided in two parts, 3117 and 204, that added together give a triangular number (3321 = T81).

The spelling of 3117204 in words is "three million, one hundred seventeen thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1069 1458 2138 2916 3207 4276 6414 9621 12828 19242 28863 38484 57726 86589 115452 173178 259767 346356 519534 779301 1039068 1558602 3117204