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38304084 = 22372135011
BaseRepresentation
bin1001001000011…
…1100101010100
32200002001022210
42102013211110
534301212314
63444553420
7643402500
oct222074524
980061283
1038304084
111a692475
12109b2870
137c21950
145131300
153569559
hex2487954

38304084 has 72 divisors (see below), whose sum is σ = 111988128. Its totient is φ = 10100160.

The previous prime is 38304073. The next prime is 38304113. The reversal of 38304084 is 48040383.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5139 + ... + 10149.

Almost surely, 238304084 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 38304084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55994064).

38304084 is an abundant number, since it is smaller than the sum of its proper divisors (73684044).

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

38304084 is a wasteful number, since it uses less digits than its factorization.

38304084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5045 (or 5036 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 38304084 is about 6189.0293261545. The cubic root of 38304084 is about 337.0919336980.

The spelling of 38304084 in words is "thirty-eight million, three hundred four thousand, eighty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 147 156 182 196 273 294 364 546 588 637 1092 1274 1911 2548 3822 5011 7644 10022 15033 20044 30066 35077 60132 65143 70154 105231 130286 140308 195429 210462 245539 260572 390858 420924 456001 491078 736617 781716 912002 982156 1368003 1473234 1824004 2736006 2946468 3192007 5472012 6384014 9576021 12768028 19152042 38304084