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3001943056 = 247217322133
BaseRepresentation
bin1011001011101110…
…0000010000010000
321202012200111201011
42302323200100100
522121444134211
61213514020304
7134251044400
oct26273402020
97665614634
103001943056
111300578282
126b9417694
1338ac14a88
14206990800
15128829921
hexb2ee0410

3001943056 has 60 divisors (see below), whose sum is σ = 6805275372. Its totient is φ = 1279052544.

The previous prime is 3001943053. The next prime is 3001943083. The reversal of 3001943056 is 6503491003.

It can be written as a sum of positive squares in 2 ways, for example, as 2173424400 + 828518656 = 46620^2 + 28784^2 .

It is a super-3 number, since 3×30019430563 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (3001943053) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 124566 + ... + 146698.

Almost surely, 23001943056 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 3001943056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3402637686).

3001943056 is an abundant number, since it is smaller than the sum of its proper divisors (3803332316).

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

3001943056 is a wasteful number, since it uses less digits than its factorization.

3001943056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22328 (or 22315 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 31.

The square root of 3001943056 is about 54789.9904727132. The cubic root of 3001943056 is about 1442.5608777386.

The spelling of 3001943056 in words is "three billion, one million, nine hundred forty-three thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 173 196 346 392 692 784 1211 1384 2422 2768 4844 8477 9688 16954 19376 22133 33908 44266 67816 88532 135632 154931 177064 309862 354128 619724 1084517 1239448 2169034 2478896 3829009 4338068 7658018 8676136 15316036 17352272 26803063 30632072 53606126 61264144 107212252 187621441 214424504 375242882 428849008 750485764 1500971528 3001943056