Search a number
-
+
2000034 = 232234831
BaseRepresentation
bin111101000010010100010
310202121112100
413220102202
51003000114
6110511230
723000001
oct7502242
93677470
102000034
111146723
12805516
1355046a
143a0c38
15297909
hex1e84a2

2000034 has 24 divisors (see below), whose sum is σ = 4522752. Its totient is φ = 637560.

The previous prime is 2000029. The next prime is 2000039. The reversal of 2000034 is 4300002.

It is an interprime number because it is at equal distance from previous prime (2000029) and next prime (2000039).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (2000039) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2002 + ... + 2829.

It is an arithmetic number, because the mean of its divisors is an integer number (188448).

22000034 is an apocalyptic number.

2000034 is an abundant number, since it is smaller than the sum of its proper divisors (2522718).

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

2000034 is a wasteful number, since it uses less digits than its factorization.

2000034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4862 (or 4859 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 2000034 is about 1414.2255831373. The cubic root of 2000034 is about 125.9928189407.

Adding to 2000034 its reverse (4300002), we get a palindrome (6300036).

Subtracting 2000034 from its reverse (4300002), we obtain a cube (2299968 = 1323).

The spelling of 2000034 in words is "two million, thirty-four", and thus it is an aban number and an eban number.

Divisors: 1 2 3 6 9 18 23 46 69 138 207 414 4831 9662 14493 28986 43479 86958 111113 222226 333339 666678 1000017 2000034