Search a number
-
+
2684032 = 27131613
BaseRepresentation
bin1010001111010010000000
312001100210121
422033102000
51141342112
6133310024
731546111
oct12172200
95040717
102684032
11157360a
12a95314
1372c8b0
144dc208
15380407
hex28f480

2684032 has 32 divisors (see below), whose sum is σ = 5761980. Its totient is φ = 1238016.

The previous prime is 2684023. The next prime is 2684041. The reversal of 2684032 is 2304862.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2684023) and next prime (2684041).

It can be written as a sum of positive squares in 2 ways, for example, as 2637376 + 46656 = 1624^2 + 216^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 2683988 and 2684006.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 858 + ... + 2470.

22684032 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 2684032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2880990).

2684032 is an abundant number, since it is smaller than the sum of its proper divisors (3077948).

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

2684032 is a wasteful number, since it uses less digits than its factorization.

2684032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1640 (or 1628 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 2684032 is about 1638.3015595427. The cubic root of 2684032 is about 138.9726150699.

Adding to 2684032 its reverse (2304862), we get a palindrome (4988894).

The spelling of 2684032 in words is "two million, six hundred eighty-four thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1613 1664 3226 6452 12904 20969 25808 41938 51616 83876 103232 167752 206464 335504 671008 1342016 2684032