Search a number
-
+
2302104 = 233771193
BaseRepresentation
bin1000110010000010011000
311022221220010
420302002120
51042131404
6121201520
725365450
oct10620230
94287803
102302104
111332672
129302a0
13627abc
1443cd60
15307189
hex232098

2302104 has 64 divisors (see below), whose sum is σ = 6704640. Its totient is φ = 645120.

The previous prime is 2302099. The next prime is 2302117. The reversal of 2302104 is 4012032.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 2302104.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 11832 + ... + 12024.

It is an arithmetic number, because the mean of its divisors is an integer number (104760).

22302104 is an apocalyptic number.

2302104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2302104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3352320).

2302104 is an abundant number, since it is smaller than the sum of its proper divisors (4402536).

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

2302104 is a wasteful number, since it uses less digits than its factorization.

2302104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2302104 is about 1517.2685985019. The cubic root of 2302104 is about 132.0408505338.

Adding to 2302104 its reverse (4012032), we get a palindrome (6314136).

The spelling of 2302104 in words is "two million, three hundred two thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 71 84 142 168 193 213 284 386 426 497 568 579 772 852 994 1158 1351 1491 1544 1704 1988 2316 2702 2982 3976 4053 4632 5404 5964 8106 10808 11928 13703 16212 27406 32424 41109 54812 82218 95921 109624 164436 191842 287763 328872 383684 575526 767368 1151052 2302104