Search a number
-
+
2381764 = 2271121937
BaseRepresentation
bin1001000101011111000100
311111000011111
421011133010
51102204024
6123014404
726146630
oct11053704
94430144
102381764
111387500
1296a404
13655138
1445ddc0
15320a94
hex2457c4

2381764 has 72 divisors (see below), whose sum is σ = 5660480. Its totient is φ = 855360.

The previous prime is 2381749. The next prime is 2381773. The reversal of 2381764 is 4671832.

2381764 is nontrivially palindromic in base 3.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64354 + ... + 64390.

22381764 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 2381764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2830240).

2381764 is an abundant number, since it is smaller than the sum of its proper divisors (3278716).

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

2381764 is a wasteful number, since it uses less digits than its factorization.

2381764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 76 counting only the distinct ones).

The product of its digits is 8064, while the sum is 31.

The square root of 2381764 is about 1543.2964718420. The cubic root of 2381764 is about 133.5466225149.

It can be divided in two parts, 238 and 1764, that added together give a palindrome (2002).

The spelling of 2381764 in words is "two million, three hundred eighty-one thousand, seven hundred sixty-four".

Divisors: 1 2 4 7 11 14 19 22 28 37 38 44 74 76 77 121 133 148 154 209 242 259 266 308 407 418 484 518 532 703 814 836 847 1036 1406 1463 1628 1694 2299 2812 2849 2926 3388 4477 4598 4921 5698 5852 7733 8954 9196 9842 11396 15466 16093 17908 19684 30932 31339 32186 54131 62678 64372 85063 108262 125356 170126 216524 340252 595441 1190882 2381764