Search a number
-
+
2132304 = 243311433
BaseRepresentation
bin1000001000100101010000
311000022222020
420020211100
51021213204
6113411440
724060426
oct10104520
94008866
102132304
111227039
12869b80
13598725
143d7116
152c1bd9
hex208950

2132304 has 40 divisors (see below), whose sum is σ = 5690112. Its totient is φ = 687360.

The previous prime is 2132303. The next prime is 2132309. The reversal of 2132304 is 4032312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2132303) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 772 + ... + 2204.

22132304 is an apocalyptic number.

2132304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2132304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2845056).

2132304 is an abundant number, since it is smaller than the sum of its proper divisors (3557808).

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

2132304 is a wasteful number, since it uses less digits than its factorization.

2132304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1475 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 2132304 is about 1460.2410759871. The cubic root of 2132304 is about 128.7112102331.

Adding to 2132304 its reverse (4032312), we get a palindrome (6164616).

The spelling of 2132304 in words is "two million, one hundred thirty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 744 1433 1488 2866 4299 5732 8598 11464 17196 22928 34392 44423 68784 88846 133269 177692 266538 355384 533076 710768 1066152 2132304