Search a number
-
+
2816340 = 223573643
BaseRepresentation
bin1010101111100101010100
312022002021220
422233211110
51210110330
6140210340
732636622
oct12574524
95262256
102816340
111653a5a
12b399b0
13777b97
14534512
153a9710
hex2af954

2816340 has 48 divisors (see below), whose sum is σ = 8006208. Its totient is φ = 739584.

The previous prime is 2816311. The next prime is 2816353. The reversal of 2816340 is 436182.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2816340.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4059 + ... + 4701.

It is an arithmetic number, because the mean of its divisors is an integer number (166796).

22816340 is an apocalyptic number.

2816340 is a gapful number since it is divisible by the number (20) 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 2816340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4003104).

2816340 is an abundant number, since it is smaller than the sum of its proper divisors (5189868).

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

2816340 is a wasteful number, since it uses less digits than its factorization.

2816340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 2816340 is about 1678.1954594147. The cubic root of 2816340 is about 141.2196165102.

It can be divided in two parts, 28163 and 40, that added together give a triangular number (28203 = T237).

The spelling of 2816340 in words is "two million, eight hundred sixteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 146 219 292 365 438 643 730 876 1095 1286 1460 1929 2190 2572 3215 3858 4380 6430 7716 9645 12860 19290 38580 46939 93878 140817 187756 234695 281634 469390 563268 704085 938780 1408170 2816340