Search a number
-
+
29307328 = 26617507
BaseRepresentation
bin110111111001…
…1000111000000
32001010222002121
41233303013000
530000313303
62524054024
7504052051
oct157630700
961128077
1029307328
11155a8036
129994314
1360c191b
143c6c728
15288d9bd
hex1bf31c0

29307328 has 28 divisors (see below), whose sum is σ = 59117992. Its totient is φ = 14411520.

The previous prime is 29307323. The next prime is 29307349. The reversal of 29307328 is 82370392.

It is a junction number, because it is equal to n+sod(n) for n = 29307293 and 29307302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29307323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 151 + ... + 7657.

Almost surely, 229307328 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 29307328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29558996).

29307328 is an abundant number, since it is smaller than the sum of its proper divisors (29810664).

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

29307328 is an equidigital number, since it uses as much as digits as its factorization.

29307328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7580 (or 7570 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 29307328 is about 5413.6242943152. The cubic root of 29307328 is about 308.3131688461.

The spelling of 29307328 in words is "twenty-nine million, three hundred seven thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 32 61 64 122 244 488 976 1952 3904 7507 15014 30028 60056 120112 240224 457927 480448 915854 1831708 3663416 7326832 14653664 29307328