Search a number
-
+
2000042334 = 233191949359
BaseRepresentation
bin111011100110110…
…0011100101011110
312011101102200022000
41313031203211132
513044002323314
6530243503130
7100364036133
oct16715434536
95141380260
102000042334
11936a76454
12479987aa6
1325b490704
1414d8aa58a
15ba8c0209
hex7736395e

2000042334 has 32 divisors (see below), whose sum is σ = 4678464000. Its totient is φ = 631591992.

The previous prime is 2000042329. The next prime is 2000042339. The reversal of 2000042334 is 4332400002.

It is an interprime number because it is at equal distance from previous prime (2000042329) and next prime (2000042339).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000042339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 973654 + ... + 975705.

It is an arithmetic number, because the mean of its divisors is an integer number (146202000).

Almost surely, 22000042334 is an apocalyptic number.

2000042334 is an abundant number, since it is smaller than the sum of its proper divisors (2678421666).

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

2000042334 is a wasteful number, since it uses less digits than its factorization.

2000042334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1949389 (or 1949383 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 2000042334 is about 44721.8328560000. The cubic root of 2000042334 is about 1259.9299394151.

Adding to 2000042334 its reverse (4332400002), we get a palindrome (6332442336).

It can be divided in two parts, 2000042 and 334, that added together give a cube (2000376 = 1263).

The spelling of 2000042334 in words is "two billion, forty-two thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 342 513 1026 1949359 3898718 5848077 11696154 17544231 35088462 37037821 52632693 74075642 105265386 111113463 222226926 333340389 666680778 1000021167 2000042334