Search a number
-
+
30728322 = 235232749
BaseRepresentation
bin111010100111…
…0000010000010
32010211011100000
41311032002002
530331301242
63014340430
7522120642
oct165160202
963734300
1030728322
1116388709
12a35a716
13649b651
14411c522
152a6ea4c
hex1d4e082

30728322 has 48 divisors (see below), whose sum is σ = 72072000. Its totient is φ = 9793872.

The previous prime is 30728293. The next prime is 30728381. The reversal of 30728322 is 22382703.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9804 + ... + 12552.

It is an arithmetic number, because the mean of its divisors is an integer number (1501500).

Almost surely, 230728322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30728322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36036000).

30728322 is an abundant number, since it is smaller than the sum of its proper divisors (41343678).

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

30728322 is a wasteful number, since it uses less digits than its factorization.

30728322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2789 (or 2777 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 30728322 is about 5543.3132691559. The cubic root of 30728322 is about 313.2176895809.

The spelling of 30728322 in words is "thirty million, seven hundred twenty-eight thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 81 138 162 207 243 414 486 621 1242 1863 2749 3726 5498 5589 8247 11178 16494 24741 49482 63227 74223 126454 148446 189681 222669 379362 445338 569043 668007 1138086 1336014 1707129 3414258 5121387 10242774 15364161 30728322