Search a number
-
+
2634368 = 27111871
BaseRepresentation
bin1010000011001010000000
311221211200012
422003022000
51133244433
6132244052
731251242
oct12031200
94854605
102634368
11153a270
12a70628
137130c9
144c8092
15370848
hex283280

2634368 has 32 divisors (see below), whose sum is σ = 5728320. Its totient is φ = 1196800.

The previous prime is 2634353. The next prime is 2634377. The reversal of 2634368 is 8634362.

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

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 473 + ... + 2343.

It is an arithmetic number, because the mean of its divisors is an integer number (179010).

22634368 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 2634368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2864160).

2634368 is an abundant number, since it is smaller than the sum of its proper divisors (3093952).

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

2634368 is a wasteful number, since it uses less digits than its factorization.

2634368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1896 (or 1884 counting only the distinct ones).

The product of its digits is 20736, while the sum is 32.

The square root of 2634368 is about 1623.0736274119. The cubic root of 2634368 is about 138.1101130533.

The spelling of 2634368 in words is "two million, six hundred thirty-four thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1408 1871 3742 7484 14968 20581 29936 41162 59872 82324 119744 164648 239488 329296 658592 1317184 2634368