Search a number
-
+
2378196 = 2232312131
BaseRepresentation
bin1001000100100111010100
311110211021100
421010213110
51102100241
6122550100
726133342
oct11044724
94424240
102378196
111384857
12968330
13653622
1445c992
1531e9b6
hex2449d4

2378196 has 36 divisors (see below), whose sum is σ = 6208384. Its totient is φ = 766800.

The previous prime is 2378191. The next prime is 2378197. The reversal of 2378196 is 6918732.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 221 + 35 + 73 + 83 + 1 + 9 + 67 .

It is a self number, because there is not a number n which added to its sum of digits gives 2378196.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2378191) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51 + ... + 2181.

22378196 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 2378196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3104192).

2378196 is an abundant number, since it is smaller than the sum of its proper divisors (3830188).

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

2378196 is a wasteful number, since it uses less digits than its factorization.

2378196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2172 (or 2167 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 2378196 is about 1542.1400714591. The cubic root of 2378196 is about 133.4799027105.

The spelling of 2378196 in words is "two million, three hundred seventy-eight thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 1116 2131 4262 6393 8524 12786 19179 25572 38358 66061 76716 132122 198183 264244 396366 594549 792732 1189098 2378196