Search a number
-
+
2938432 = 2672937
BaseRepresentation
bin1011001101011001000000
312112021202211
423031121000
51223012212
6142551504
733655600
oct13153100
95467684
102938432
111727762
12b98594
137bb623
14566c00
153d09a7
hex2cd640

2938432 has 42 divisors (see below), whose sum is σ = 6790182. Its totient is φ = 1257984.

The previous prime is 2938423. The next prime is 2938451. The reversal of 2938432 is 2348392.

It can be written as a sum of positive squares in only one way, i.e., 1806336 + 1132096 = 1344^2 + 1064^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2938394 and 2938403.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2668 + ... + 3604.

It is an arithmetic number, because the mean of its divisors is an integer number (161671).

22938432 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 2938432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3395091).

2938432 is an abundant number, since it is smaller than the sum of its proper divisors (3851750).

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

2938432 is an equidigital number, since it uses as much as digits as its factorization.

2938432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963 (or 946 counting only the distinct ones).

The product of its digits is 10368, while the sum is 31.

The square root of 2938432 is about 1714.1855208816. The cubic root of 2938432 is about 143.2315026975.

The spelling of 2938432 in words is "two million, nine hundred thirty-eight thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 937 1568 1874 3136 3748 6559 7496 13118 14992 26236 29984 45913 52472 59968 91826 104944 183652 209888 367304 419776 734608 1469216 2938432