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30824304 = 2437199461
BaseRepresentation
bin111010110010…
…1011101110000
32011000000222220
41311211131300
530342334204
63020401040
7523000530
oct165453560
964000886
1030824304
1116443835
12a3a6180
136503244
1441454c0
152a8d1d9
hex1d65770

30824304 has 80 divisors (see below), whose sum is σ = 91660800. Its totient is φ = 8743680.

The previous prime is 30824279. The next prime is 30824309. The reversal of 30824304 is 40342803.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30824309) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66634 + ... + 67094.

It is an arithmetic number, because the mean of its divisors is an integer number (1145760).

Almost surely, 230824304 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 30824304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45830400).

30824304 is an abundant number, since it is smaller than the sum of its proper divisors (60836496).

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

30824304 is a wasteful number, since it uses less digits than its factorization.

30824304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 30824304 is about 5551.9639768284. The cubic root of 30824304 is about 313.5434695236.

The spelling of 30824304 in words is "thirty million, eight hundred twenty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 199 336 398 461 597 796 922 1194 1383 1393 1592 1844 2388 2766 2786 3184 3227 3688 4179 4776 5532 5572 6454 7376 8358 9552 9681 11064 11144 12908 16716 19362 22128 22288 25816 33432 38724 51632 66864 77448 91739 154896 183478 275217 366956 550434 642173 733912 1100868 1284346 1467824 1926519 2201736 2568692 3853038 4403472 5137384 7706076 10274768 15412152 30824304