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30280824 = 2333722861
BaseRepresentation
bin111001110000…
…0110001111000
32002222102111000
41303200301320
530222441244
63001005000
7515245200
oct163406170
962872430
1030280824
1116102482
12a183760
136372a62
144043400
1529d2169
hex1ce0c78

30280824 has 96 divisors (see below), whose sum is σ = 97880400. Its totient is φ = 8648640.

The previous prime is 30280801. The next prime is 30280853. The reversal of 30280824 is 42808203.

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

It is a zygodrome in base 2.

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, 9154 + ... + 12014.

Almost surely, 230280824 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 30280824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48940200).

30280824 is an abundant number, since it is smaller than the sum of its proper divisors (67599576).

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

30280824 is a wasteful number, since it uses less digits than its factorization.

30280824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2890 (or 2873 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 30280824 is about 5502.8014683432. The cubic root of 30280824 is about 311.6897804103.

The spelling of 30280824 in words is "thirty million, two hundred eighty thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 84 98 108 126 147 168 189 196 216 252 294 378 392 441 504 588 756 882 1176 1323 1512 1764 2646 2861 3528 5292 5722 8583 10584 11444 17166 20027 22888 25749 34332 40054 51498 60081 68664 77247 80108 102996 120162 140189 154494 160216 180243 205992 240324 280378 308988 360486 420567 480648 540729 560756 617976 720972 841134 1081458 1121512 1261701 1441944 1682268 2162916 2523402 3364536 3785103 4325832 5046804 7570206 10093608 15140412 30280824