Search a number
-
+
3000872 = 237411307
BaseRepresentation
bin1011011100101000101000
312122110102102
423130220220
51232011442
6144152532
734335620
oct13345050
95573372
103000872
11176a666
121008748
13810b84
14581880
153e4232
hex2dca28

3000872 has 32 divisors (see below), whose sum is σ = 6592320. Its totient is φ = 1253760.

The previous prime is 3000869. The next prime is 3000887. The reversal of 3000872 is 2780003.

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1643 + ... + 2949.

It is an arithmetic number, because the mean of its divisors is an integer number (206010).

Almost surely, 23000872 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 3000872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3296160).

3000872 is an abundant number, since it is smaller than the sum of its proper divisors (3591448).

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

3000872 is a wasteful number, since it uses less digits than its factorization.

3000872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1361 (or 1357 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 3000872 is about 1732.3025139969. The cubic root of 3000872 is about 144.2389294729.

Adding to 3000872 its reverse (2780003), we get a palindrome (5780875).

The spelling of 3000872 in words is "three million, eight hundred seventy-two", and thus it is an aban number.

Divisors: 1 2 4 7 8 14 28 41 56 82 164 287 328 574 1148 1307 2296 2614 5228 9149 10456 18298 36596 53587 73192 107174 214348 375109 428696 750218 1500436 3000872