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2380638 = 2313231327
BaseRepresentation
bin1001000101001101011110
311110221121210
421011031132
51102140023
6123005250
726143431
oct11051536
94427553
102380638
111386677
12969826
13654780
1445d818
15320593
hex24535e

2380638 has 32 divisors (see below), whose sum is σ = 5354496. Its totient is φ = 700128.

The previous prime is 2380633. The next prime is 2380657. The reversal of 2380638 is 8360832.

2380638 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2380633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1131 + ... + 2457.

It is an arithmetic number, because the mean of its divisors is an integer number (167328).

22380638 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2380638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2677248).

2380638 is an abundant number, since it is smaller than the sum of its proper divisors (2973858).

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

2380638 is a wasteful number, since it uses less digits than its factorization.

2380638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1368.

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 2380638 is about 1542.9316251863. The cubic root of 2380638 is about 133.5255740819.

The spelling of 2380638 in words is "two million, three hundred eighty thousand, six hundred thirty-eight".

Divisors: 1 2 3 6 13 23 26 39 46 69 78 138 299 598 897 1327 1794 2654 3981 7962 17251 30521 34502 51753 61042 91563 103506 183126 396773 793546 1190319 2380638