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30328100 = 22521179349
BaseRepresentation
bin111001110110…
…0010100100100
32010001211022222
41303230110210
530230444400
63002011512
7515533055
oct163542444
963054288
1030328100
1116134a50
12a1a6b98
13638b42a
14405672c
1529e1185
hex1cec524

30328100 has 72 divisors (see below), whose sum is σ = 72912000. Its totient is φ = 10857600.

The previous prime is 30328097. The next prime is 30328121. The reversal of 30328100 is 182303.

It is a super-2 number, since 2×303281002 = 1839587299220000, which contains 22 as substring.

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, 86726 + ... + 87074.

Almost surely, 230328100 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 30328100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36456000).

30328100 is an abundant number, since it is smaller than the sum of its proper divisors (42583900).

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

30328100 is a wasteful number, since it uses less digits than its factorization.

30328100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 30328100 is about 5507.0954231791. The cubic root of 30328100 is about 311.8519048417.

The spelling of 30328100 in words is "thirty million, three hundred twenty-eight thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 79 100 110 158 220 275 316 349 395 550 698 790 869 1100 1396 1580 1738 1745 1975 3476 3490 3839 3950 4345 6980 7678 7900 8690 8725 15356 17380 17450 19195 21725 27571 34900 38390 43450 55142 76780 86900 95975 110284 137855 191950 275710 303281 383900 551420 606562 689275 1213124 1378550 1516405 2757100 3032810 6065620 7582025 15164050 30328100