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3074810112 = 283311371093
BaseRepresentation
bin1011011101000101…
…1110000100000000
321221021210112112000
42313101132010000
522244122410422
61225035504000
7136124311653
oct26721360400
97837715460
103074810112
111338717390
127198b8000
133a004858a
1421251b89a
1512ee1ecac
hexb745e100

3074810112 has 288 divisors, whose sum is σ = 10196780160. Its totient is φ = 905748480.

The previous prime is 3074810087. The next prime is 3074810191. The reversal of 3074810112 is 2110184703.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2812638 + ... + 2813730.

Almost surely, 23074810112 is an apocalyptic number.

3074810112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3074810112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5098390080).

3074810112 is an abundant number, since it is smaller than the sum of its proper divisors (7121970048).

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

3074810112 is a wasteful number, since it uses less digits than its factorization.

3074810112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 3074810112 is about 55450.9703431779. The cubic root of 3074810112 is about 1454.1395954614.

Adding to 3074810112 its reverse (2110184703), we get a palindrome (5184994815).

The spelling of 3074810112 in words is "three billion, seventy-four million, eight hundred ten thousand, one hundred twelve".