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2984447104 = 27175772377
BaseRepresentation
bin1011000111100011…
…0000110010000000
321200222202121202221
42301320300302000
522103004301404
61212051020424
7133646244652
oct26170606200
97628677687
102984447104
1112a1708311
126b359a714
133873ca342
142045186d2
15127020954
hexb1e30c80

2984447104 has 64 divisors (see below), whose sum is σ = 6308881560. Its totient is φ = 1401421824.

The previous prime is 2984447077. The next prime is 2984447111. The reversal of 2984447104 is 4017444892.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2975920704 + 8526400 = 54552^2 + 2920^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1254364 + ... + 1256740.

Almost surely, 22984447104 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 2984447104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3154440780).

2984447104 is an abundant number, since it is smaller than the sum of its proper divisors (3324434456).

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

2984447104 is a wasteful number, since it uses less digits than its factorization.

2984447104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2985 (or 2973 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 43.

The square root of 2984447104 is about 54630.0933918294. The cubic root of 2984447104 is about 1439.7528999876.

The spelling of 2984447104 in words is "two billion, nine hundred eighty-four million, four hundred forty-seven thousand, one hundred four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 544 577 1088 1154 2176 2308 2377 4616 4754 9232 9508 9809 18464 19016 19618 36928 38032 39236 40409 73856 76064 78472 80818 152128 156944 161636 304256 313888 323272 627776 646544 1255552 1293088 1371529 2586176 2743058 5172352 5486116 10972232 21944464 23315993 43888928 46631986 87777856 93263972 175555712 186527944 373055888 746111776 1492223552 2984447104